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Given √2 is irrational number.
Let √2 = a / b wher a,b are integers b ≠ 0
we also suppose that a / b is written in the simplest form
Now √2 = a / b
⇒ 2 = a² / b²
⇒ 2b² = a²
∴ 2b² is divisible by 2
⇒ a² is divisible by 2
⇒ a is divisible by 2
∴ let a = 2c
a² = 4c²
⇒ 2b² = 4c²
⇒ b² = 2c²
∴ 2c² is divisible by 2
∴ b² is divisible by 2
∴ b is divisible by 2
∴ a are b are divisible by 2 .
This contradicts our supposition that a/b is written in the simplest form
Hence our supposition is wrong
∴ √2 is irrational number.

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Prove that √5 - √3 is not a rational number

Posted by Priyanshu Birhman 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Tanishka Hira 7 years, 5 months ago

step 1: first prove root 5 and root 3 as irrational, separately.
step 2: secondly tell that the difference of two irrationals are irrational.

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(2-a)³+(2-b)³+(2-c)³-3(2-a)(2-b)(2-c)

Posted by Adish Khatak 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Vikash Kumar 7 years, 5 months ago

Solve this question according to the formula of a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)

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3×3

Posted by Harsh Gupta 7 years, 5 months ago

CBSE > Class 09 > Mathematics

3 answers

Ansh Sharma 7 years, 5 months ago

Ans=9 because 9 is the squareroot of 3

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Garvit Garg 7 years, 5 months ago

Obvisly 9 is ans

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Tanishka Hira 7 years, 5 months ago

2Thank You

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Express 0.25 in the form of p/q

Posted by Rishit Dhanik 7 years, 5 months ago

CBSE > Class 09 > Mathematics

2 answers

Ajay Kumar 7 years, 5 months ago

0•25=25/100=1/4 so hard.

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D Anniee... Sharma 7 years, 5 months ago

1/4

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Find the value of 2.6...-2.9...

Posted by Mohd Kashan 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Shalu Walia 7 years, 5 months ago

-0. 3

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How much is subtracted from how much to get something

Posted by Devansh Mishra 7 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Factorize by using identities

Posted by Angel Singh 7 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Determine which of the following polynomials has (x+1) a factor X3+x2+x+1

Posted by Deepak Kumar 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Garvit Garg 7 years, 5 months ago

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draw this linear equation x+y=2 in graph

Posted by Nidhi Bajpai 7 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

x+y=2

Posted by Nidhi Bajpai 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Shalu Walia 7 years, 5 months ago

X=1 y =1

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Find the value of a-b whole square upon whole b-c whole c-a + b-cwhole square upon whole a-b whole c-a+ c-a whole square upon whole a-b wholeb-c

Posted by Rudra Pratap 7 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Find the value of(2-b)

Posted by Rudra Pratap 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajnish Kumar 7 years, 5 months ago

2-b=0
b=2

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root 2 divided by 3 root 2 - 2root3

Posted by Gowri P 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajnish Kumar 7 years, 5 months ago

root 2 divided by 3root2 - 2root3 = by rationalising the denominator we get

root 2 x (3root2+2root3)/(3root2-2root3)x(3root2+2root3)

(root2x3root2)+(root2x2root3)/(3root2)²-(2root3)²

3x2+2root6/18-12

6+2root6/6

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The supplement of an angle is one third of it self determine the angle and its supplement

Posted by Mohit Rana 7 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

The supplement of an angle is one third of it self determine the angle and its supplement

Posted by Mohit Rana 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Navin Ray 7 years, 5 months ago

Angle-135 Supplement -45

2Thank You

ANSWER

Represent √2+√6 on a number line

Posted by Priya Mishra 7 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

The sum of angle 180;

Posted by Piyush Kumar 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Prem Bakhran 5 years, 8 months ago

Hence

3Thank You

ANSWER

If x+y+z=0 then prove that x^3+y^3+z^3 = 3xyz

Posted by Aquibe Jawed 7 years, 5 months ago

CBSE > Class 09 > Mathematics

2 answers

Vikash Kumar 7 years, 5 months ago

x+y=-z ....equ.1 (x+y)³=(-z)³ (Cube of both sides) X³+y³+3xy(x+y)=-z³ x³+y³+3xy(-z)=-z³ (Using equ.1) x³+y³-3xyz =-z³ x³+y³+z³ =3xyz Hence, it is proved.

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Prince Anand 5 years, 8 months ago

When u posted this

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How to remember the formulas

Posted by Reethika R 7 years, 5 months ago

CBSE > Class 09 > Mathematics