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Prove that✓5+✓3 is irrational.

Posted by Banty Kumari 2 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Nikita Yadav 2 years, 11 months ago

To prove it let us assume it to be a rational number Rational numbers are the ones which can be expressed in p/q form where p,q are integers and q isn't equal to 0 √3+√5=p/q √3=(p/q)-√5 Squatting on both sides 3=p²/q²-(2√5p)/q+5 (2√5p)/q=5-3-p²/q² 2√5p/q=(2q²-p²)/q² √5=(2q²-p²)/q²*q/2p √5=(2q²-p²)/2pq As p and q are integers RHS is rational As RHS is rational LHS is also rational i.e √5 is rational But this contradicts the fact that √5 is irrational This contradiction arose because of our false assumption So √3+√5 is irrational

Kulveer Kaur 2 years, 11 months ago

Here's your answer To prove: √3+√5 is irrational To prove it let us assume it to be a rational number Rational numbers are the ones which can be expressed in p/q form where p,q are integers and q isn't equal to 0 √3+√5=p/q √3=(p/q)-√5 Squatting on both sides 3=p²/q²-(2√5p)/q+5 (2√5p)/q=5-3-p²/q² 2√5p/q=(2q²-p²)/q² √5=(2q²-p²)/q²*q/2p √5=(2q²-p²)/2pq As p and q are integers RHS is rational As RHS is rational LHS is also rational i.e √5 is rational But this contradicts the fact that √5 is irrational This contradiction arose because of our false assumption So √3+√5 is irrational

Tanu Bhardwaj 2 years, 11 months ago

First we let tha root5+ root3 = a upon b [ here a and be are composite no. Where a belongs integer and b is not equal to 0 Then on squaring both side it will we root5^2+root3^2 = a^2 upon b^2. Now it will be 8 = a^2 upon b^2 By cross multiply It will be 8b^2 = a^2 we make it (i) equation Let a=8k Then on squaring we put here a^2 value as 8b^2 8b^2 = 64k^2 on reducing it it will be... b^2 = 8k^2 we make it (ii) equation we see here from equ.(i) and (ii) That this contradict our assumption Therefore root 5 + root 3 is an irrational no. Hence proved!!...... 🥰🤗

ANSWER

About 11 class entrance exam

Posted by Ishika Singh 2 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Amrit Chaudhary 2 years, 11 months ago

Be relax , everything will be best.

ANSWER

2 differences b/w food chain and food web.

Posted by Yug Malik 2 years, 11 months ago

CBSE > Class 10 > Science

2 answers

Mohammed Faizan 2 years, 11 months ago

Hello

Nandini . 2 years, 11 months ago

Two difference can be- 1) food chain is transfer of energy from one organism to another whereas a food web is many foodchains connected 2) in a food chain there is only producer whereas in food web there are many

ANSWER

फैयाज खां का जीवन परिचय

Posted by Utkarsh Yadav 2 years, 11 months ago

CBSE > Class 10 > Music

1 answers

Khushi Khushi 2 years, 10 months ago

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ANSWER

Sample Page

Posted by Prithvi Deora 2 years, 11 months ago

CBSE > Class 10 > Social Science

0 answers

ANSWER

297 + 444

Posted by Ankesh Kumar 2 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Anushka Sharma 2 years, 11 months ago

741

Rithik Tiwari 2 years, 11 months ago

741

Tanmay Kanani 2 years, 11 months ago

Shut the **** up

Ankesh Kumar 2 years, 11 months ago

741

ANSWER

‘वह फल खरȣदने के ͧलए बाज़ार गया - इसका संयुÈत वाÈय होगा- (क) वह बाज़ार गया फल खरȣदने के ͧलए। (ख) वह बाज़ार गया। उसने फल ख़रȣदा। (ग) उसे फल खरȣदने थे, इसͧलए वह बाज़ार गया। (घ) उसने बाज़ार जाकर फल ख़रȣदे।

Posted by Hitesh .. 2 years, 11 months ago

CBSE > Class 10 > हिंदी ए

5 answers

Karan Verma 2 years, 11 months ago

3 because isliya guda ha

Shanu Yadav 2 years, 11 months ago

3

Tanya Siwach 2 years, 11 months ago

3

Anushka Sharma 2 years, 11 months ago

Options 3rd is correct

Royal Raajput Free Fire 1 2 years, 11 months ago

2

ANSWER

How to find the area of shaded regions

Posted by Vansh Multani 2 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Akm Akm 2 years, 11 months ago

Same as send above

Anjali _ 2 years, 11 months ago

area of figure — area of non shaded region = area of shaded region

ANSWER

Change into indirect form of speech :-- Mohan : Thank you, I will come in the afternoon.

Posted by Shubh Lakshna Pandey 2 years, 11 months ago

CBSE > Class 10 > English Language and Literature

4 answers

Ayush Kumar 2 years, 11 months ago

The naklesh summary

Samita Kashyap 2 years, 11 months ago

Mohan exclamed with joy that he would came in the afternoon

Omya Aryan 2 years, 11 months ago

Mohan said thankyou, he will be coming in the afternoon.

Abhishek Tiwary 2 years, 11 months ago

Thanks

ANSWER

How can I solve numerical

Posted by Tripti Tripti 2 years, 11 months ago

CBSE > Class 10 > Science

4 answers

Jessika Chauhan 2 years, 11 months ago

you do practise

Ravi Shankar 2 years, 11 months ago

What is life process?

Abhishek Tiwary 2 years, 11 months ago

Thanks

Sakshi Sharma 2 years, 11 months ago

What is structure isomers

ANSWER

Pens are sold in pack of 8 and notepads are sold in pack of 12. Find the least number of pack of each type that one should buy so that there are equal number of pens and notepads

Posted by Poorna Vijay 2 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Ankesh Kumar 2 years, 11 months ago

24

Abhishek Tiwary 2 years, 11 months ago

Thanks

Shubh Lakshna Pandey 2 years, 11 months ago

24

ANSWER

बढ़ती हुई आबादी का पर्यावरण पर क्या प्रभाव पड़ा ?

Posted by Janath Kumar 2 years, 11 months ago

CBSE > Class 10 > हिंदी ब

2 answers

Muhammad Amaan Rahman 𝔸𝕄𝔸𝔸ℕ 𝕄𝕌ℍ𝔸𝕄𝕄𝔸𝔻 2 years, 10 months ago

बढ़ती आबादी ने पर्यावरण में असंतुलन पैदा कर दिया है| साथ ही बढती हुई अवादी ने पर्यावरण को निम्नलिखित तरीकों से प्रभावित किया है- (क) बढ़ती हुई आबादी ने समुद्र को पीछे धकेल दिया है और पेड़ों को अपने रास्ते से हटा दिया है। (ख) समुद्र के रेतीले तटों पर भी मानव ने बस्ती बसा दी। (ग) पेड़ो को काट कर पशु-पक्षी से उनके घर छीन लिए हैं| इससे विवश होकर उन्हें अपना प्राक्रतिक आवास छोड़कर भागना पड़ा है। (घ) वातावरण में गर्मी बढ़ने लगी, मौसम चक्र टूट गया, बरसातें बेवक्त होने लगीं। (ङ) नए रोग पैदा होने लगे है। (च) पर्यावरण दूषित हो गया है।

Kumari Gunjan 2 years, 11 months ago

बढ़ती हुई आबादी के कारण पर्यावरण दिन प्रति दिन नष्ट होते जा रहा है। अपने फायदे के लिए लोग हर जगह से पेड़ कांट रहें हैं, नदियों को दूषित कर दे रहे है। बिना अपने भविष्य के चिंता करे सभी लोग आज मज़ा कर रहे हैं किन्तु एक समय ऐसा भी आएगा जब कुछ नही बचेगा और प्रकृति हमसे नाराज़ हो हमें कठिन सज़ा देगी। उदाहरण: जिस प्रकार हमारे पाठ में नदी सिमटते सिमटते सबकी खुशी का मान मान रखते रखते जब मनुष्य ने अपना हद पार कर दिया तब नदी ने गुस्से में आकर सभी नाओ को हवा में उठा फेका।

ANSWER

पत्र मे दिनांक कहा लिखते हं

Posted by Harsh Kumar Saini 2 years, 11 months ago

CBSE > Class 10 > हिंदी ए

3 answers

Shruti Singh 2 years, 11 months ago

Sender address ka bada or receiver address ka phala

Tanya Siwach 2 years, 11 months ago

3,4 line me

Royal Raajput Free Fire 1 2 years, 11 months ago

Upar sa 2 line

ANSWER

Mode of nutrition

Posted by Prince Verma 2 years, 11 months ago

CBSE > Class 10 > Science

5 answers

Neelam Devi 2 years, 11 months ago

Autotrophic and Heterotrophic Nutrition

Sunita Sharma 2 years, 11 months ago

Autotrophic and heterotrophic

Omya Aryan 2 years, 11 months ago

Saprophytic and holozoic nutrition

Tinkoo Pal 2 years, 11 months ago

1 coulomb of charge

Anushka Sharma 2 years, 11 months ago

There are two types of mode of nutrition named as :-Autotrophic mode of nutrition,and Heterotrophic mode of nutrition.

ANSWER

Find whether decimal expansion of is a terminating or non-terminating decimal. If it terminates, find the number of decimal places its decimal expansion has

Posted by Jay Deshmukh 2 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Abhishek Tiwary 2 years, 11 months ago

Thanks

ANSWER

what were the two factors governing India's politics in 1920s?

Posted by Bhavika Mukati 2 years, 11 months ago

CBSE > Class 10 > Social Science

2 answers

Haasini Rajavel 2 years, 10 months ago

Economic depression and falling of agricultural prices

Harshit Drall 2 years, 11 months ago

Give insta I'd

ANSWER

Define gold artisians

Posted by Shanit Suhag 2 years, 11 months ago

CBSE > Class 10 > Social Science

0 answers

ANSWER

Which part of brain maintains posture and equilibrium of body

Posted by Rashid Mir Mir 2 years, 11 months ago

CBSE > Class 10 > Science

5 answers

Sawan Prajapati 2 years, 11 months ago

Cerebellum

Account Deleted 2 years, 11 months ago

Cereberum cover 60% area of human brain

Abhishek Tiwary 2 years, 11 months ago

Thanks

Arman Ghai 2 years, 11 months ago

Cerebellum

Malavika Sanu 2 years, 11 months ago

Cerebellum

ANSWER

Find mode 10000-10800 66 10800-11600 67 11600-12400 36 12400-13200 42 13200-14000 68 14000-14800 56 14800-15600 47

Posted by Pawani Pradhan 2 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Abhishek Tiwary 2 years, 11 months ago

Thanks

ANSWER

Circle area

Posted by Ankit Xalxo 2 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

Abhishek Tiwary 2 years, 11 months ago

Thans5

Shubh Lakshna Pandey 2 years, 11 months ago

πr^2

Rithik Tiwari 2 years, 11 months ago

πr²

Mangifera Indica 2 years, 11 months ago

πr2

Ankit Xalxo 2 years, 11 months ago

What is the formula for circle

ANSWER

/_ACQ=/_ABC

Posted by Rahul Dorata 2 years, 11 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Is Pythagoras theorem came in board ?

Posted by Bushra Aquil 2 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Atharv Tyagi 2 years, 11 months ago

Yes

Rithik Tiwari 2 years, 11 months ago

Yes brother

Sumit Raghuwanshi 2 years, 11 months ago

Phythagoras theorem will not come but questions related to pythagoras can come

Suyash Shubham 2 years, 11 months ago

No

ANSWER

If 49x + 51y=499,51x + 49y=501 then find the value of x and y

Posted by Avanish Giri 7117 2 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Banty Kumari 2 years, 11 months ago

X=11/2 and Y=9/2

Mangifera Indica 2 years, 11 months ago

x=8 and y=2

ANSWER

Mind map of ch footprints without feet

Posted by Arshdeep Kaur 2 years, 11 months ago

CBSE > Class 10 > English Language and Literature

1 answers

Manoj Jat 2 years, 11 months ago

How do you have received your instagram I'd like to know that I am from rajs to the point of view of

ANSWER

Chapter 1 bio

Posted by Aman Chaudhary 2 years, 11 months ago

CBSE > Class 10 > Science

3 answers

Neelam Devi 2 years, 11 months ago

Life Processes

Yamini Rajesh 2 years, 11 months ago

Life process

Sarthak Modi 2 years, 11 months ago

Life process

ANSWER

Major challenges of democracy

Posted by Karthu 😉 2 years, 11 months ago

CBSE > Class 10 > Social Science

1 answers

Divyansh Manchanda 2 years, 11 months ago

There can be many ways to maintaine democracy which can later on become its challenges I) in democracy , political party represents government but often the power is not shared properly between levels of government which can lead to change in form of government, which is dictatorship.

ANSWER

Discuss about importance of tourism in india ?

Posted by Dipanshu Kalkal 2 years, 11 months ago

CBSE > Class 10 > Social Science

1 answers

Omya Aryan 2 years, 11 months ago

Tourism comes under the tertiary sector of Indian economy. It helps to attract the foreigner which let the foreign currency enter the country. It leads to increase the importance of tertiary sector.

ANSWER

Bade bhai sahab path me lekhk ne samuchi siksha ke kin taur tarikon per vyangya kiya hai aapke vichar se kya Kiya Jana chahie

Posted by Dhruvi Prajapati 2 years, 11 months ago

CBSE > Class 10 > हिंदी ब

2 answers

Muhammad Amaan Rahman 𝔸𝕄𝔸𝔸ℕ 𝕄𝕌ℍ𝔸𝕄𝕄𝔸𝔻 2 years, 10 months ago

Ans. 2.बड़े भाईसाहब' पाठ में लेखक ने समूची शिक्षा प्रणाली पर व्यंग्य किया है उनके अनुसार वर्तमान शिक्षा प्रणाली में रटंत विद्या पर बल दिया जाता है, व्यावहारिक ज्ञान पर नहीं । अंग्रेजी भाषा पढ़ने पर बहुत अधिक बल दिया जाता है जबकि मातृभाषा हिंदी है । इसके अतिरिक्त अलजबरा और ज्योमेट्री के तर्क उनकी समझ से परे थे ।

Muhammad Amaan Rahman 𝔸𝕄𝔸𝔸ℕ 𝕄𝕌ℍ𝔸𝕄𝕄𝔸𝔻 2 years, 10 months ago

Ans. 1.बड़े भाई साहब ने समूची शिक्षा प्रणाली पर व्यंग्य करते हुए कहा है कि ये शिक्षा अंग्रेजी बोलने, लिखने, पढ़ने पर ज़ोर देती है। आए या न आए पर उस पर बल दिया जाता है। रटने की प्रणाली पर भी ज़ोर है। अर्थ समझ में आए न आए पर रटकर बच्चा विषय में पास हो जाता है। साथ ही अलजबरा, ज्योमेट्री निरंतर अभ्यास के बाद भी गलत हो जाती है। अपने देश के इतिहास के साथ दूसरे देश के इतिहास को भी पढ़ना पड़ता है जो ज़रूरी नहीं है। छोटे-छोटे विषयों पर लंबे चौड़े निबंध लिखना। ऐसी शिक्षा जो लाभदायक कम और बोझ ज़्यादा हो ठीक नहीं होती है।

ANSWER

Find value of a if remainder is linear polynomial when ax^6-x^5+ax(x+a)+1 is divided by ax^3(ax-1)+1

Posted by Suyash Shubham 2 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Suyash Shubham 2 years, 11 months ago

Upar wlae ke nam pe . Solve kr dijeye ga to bhagwan apko sukh samriddhi dega🙏

Suyash Shubham 2 years, 11 months ago

Give me answer pls .

Anshul Choudhary 2 years, 11 months ago

****

ANSWER

Solve for x 9x-5/8 - 3x-5/5 +7/3 =8/5 - (2x-3/3)

Posted by Krish Sapehiya 2 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Omya Aryan 2 years, 11 months ago

X= 0.184

ANSWER

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