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Prove that root 2 or √2 is irrational no.

Posted by Uttpan Patnaik 5 years, 9 months ago

1 answers

Sia ? 5 years, 9 months ago

Suppose $\sqrt2$ is a rational number. That is , $\sqrt2$ = $\frac{p}{q}$ for some p $\in$ Z and q $\in$ Z. We can assume the fraction is in lowest fraction, That is p and q shares no common factors.

Then $\sqrt2q=p$

Squaring both side we get,

$2q^2=p^2$

So $p^2$ is a multiple of 2,

let's assume $p=2m$

Then, $2q^2=\left(2m\right)^2$

$2q^2=4m^2$
Or $q^2=2m^2$
So $q^2$ is a multiple of 2,
$\therefore$ q is multiple of 2
Thus p and q shares a common factor.This is contradiction.
$\Rightarrow$ $\sqrt { 2 }$ is an irrational number.

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Number of sides in two regular polygon are in the ratio 5:4 and differnt between their interior angle 156 find the no. Of sides in two polygon.

Posted by Yuvika Garg 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

How to find a square root

Posted by Jatin Garg 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Is π a rational number

Posted by Rishita Gupta 5 years, 9 months ago

CBSE > Class 09 > Mathematics

4 answers

Anviksha Jagtap 5 years, 9 months ago

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Mohit Dagar 5 years, 9 months ago

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Hariom Dalal 5 years, 9 months ago

No it is not a rational number.

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Simran Bharani 5 years, 9 months ago

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Solve :- (x+1/2)^2 - (x-1/2)^2

Posted by Shu Kurenai 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Evaluate the following products without multiplying directly 103×107

Posted by Shrinithi Vasuki 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Ranveer Srivastava 5 years, 9 months ago

103 × 107 = (100+3) (100 + 7 ) 100^2 + (3 + 7 )100 + (3 × 7 ) 10000 + 1000 + 21 11021 I hope this will help you

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(a_b)^2_(a+b)^2 factorise

Posted by My Cbse Guide My Cbse Guide 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

My Cbse Guide My Cbse Guide 5 years, 9 months ago

whereis the answer?

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Ncert solutions

Posted by Aditi Singhal 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Evaluate 108 × 95 without multipling it.

Posted by Bhawesh Naik 5 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Sunny Kumar 5 years, 9 months ago

10260

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Dharmendra Ahirwar 5 years, 9 months ago

10260

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How to look whether the angle is co interior angle

Posted by Muhammedansaf Rayansha 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Shirin Sobnam 5 years, 9 months ago

If the sum of the two angles lying at the transversal is 180° then the angles are co interior angles And the angles must be within the two given parallel lines

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x^2 + 10x + 25 using identity

Posted by Bhawesh Naik 5 years, 9 months ago

CBSE > Class 09 > Mathematics

3 answers

Rudra Jaggi 5 years, 9 months ago

It resembles identity 1

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Shirin Sobnam 5 years, 9 months ago

x^2 + 10x + 25 x^2 + 10x + 5^2 x^2 + 2*x*5 +5^2 (x + 5)^2

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Tanishka Kohli 5 years, 9 months ago

(x+5)^2

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find (ax^3 +bx^2-5x +2) has (x+2) as a factor and leaves a remainder 12 when divisible by(x-2) find a and b.

Posted by As Nazmin 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Factorise a2+ab+ac+bc

Posted by Madhes Darani 5 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Ranveer Srivastava 5 years, 9 months ago

(a^2 + ab ) + ( ac + bc ) Taking common factors =a(a + b)+c(a + b) ( a + c ) ( a + b ) I hope this will help you .

2Thank You

Tanishka Kohli 5 years, 9 months ago

(a+b)(a+b)

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Ncert maths class 9 chapter 6 ex 6.2

Posted by Mayank Kumar Mishra 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Find the measure of an angle of 4 times its complement is 10 degree than twice it's supplement

Posted by G.N. Shiraguppi 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

3/4

Posted by Hemant Singh 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

If 2 interior angels on the same side of transversal interseting 2 parallel lines are in the 2 ratio 3 than what is the measure of smaller angle

Posted by G.N. Shiraguppi 5 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Ranjana Kumari 5 years, 9 months ago

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Hemant Singh 5 years, 9 months ago

Fvfs

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2 supplementary angles are in 2 ratio 3 find the angle

Posted by G.N. Shiraguppi 5 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Rishita Gupta 5 years, 9 months ago

2x36=72° 3x36=108°

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Rishita Gupta 5 years, 9 months ago

2x+3x=180° 5x=180° x=180/5 x=36°

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An exterior angle of triangle is 110degeer and it's 2 opposite interior angle are equal what is the measure of each angle

Posted by G.N. Shiraguppi 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Tanishka Kohli 5 years, 9 months ago

55°

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What is the measure of an angel whose measure is 32degeer less than its supplement

Posted by G.N. Shiraguppi 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 9 months ago

74°

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How to factorise the polynomials with the power-3

Posted by Jayakumar Jayabhavan 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

F(c )=5x× 5x× 5x+ x ×x_ 5x 1, g(x) =x+1

Posted by Banny Sundrapalli 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

If the temperture is 30C what is the temperture in fahrenheit

Posted by Yash G 5 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Tanishka Kohli 5 years, 9 months ago

86°F

0Thank You

Bhawesh Naik 5 years, 9 months ago

1Thank You

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Find the mean and median of the first 10 natural number

Posted by Himanshu 4321 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 9 months ago

first 10 natural number=1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Mean = 55/10 = 5.5
now, 5th and 6th term as the total number is even .
Median = 5+6/2 = 11/ 2 = 5.5

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a12 x4 -a4 x12

Posted by Anirudha Agrawal 5 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Tanishka Kohli 5 years, 9 months ago

0 ans

0Thank You

Akku Kumari 5 years, 9 months ago

a48×48

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Give to answer for these equations:1 x+y=4 2 x-y=2 3 y=3x 4 3=2x+y

Posted by Narasimha Raju Yadav 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Two medians AD and BC of triangle ABC intersect at o prove that point divides each median in the ratio 2 is to 3

Posted by Varad Bedekar 5 years, 9 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Find six rationale number between 3 and 4

Posted by Prince Jhala 5 years, 9 months ago

CBSE > Class 09 > Mathematics

3 answers

Tanishka Kohli 5 years, 9 months ago

3.1 ,3.2 ,3.3 ,3.4 ,3.5 ,3.6

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Kumkum Kumkum 5 years, 9 months ago

Same the denominator by 1 of both the numbers and then add 1 in the no . You want to find like 6+1 and multiply 7 with both the no. Like 3/1×7

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Vidya Vishwa1983 5 years, 9 months ago

7/2,11/3,23/6,12/3,25/6,13/6,27/6

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How many students appeared in 9th class maths test (ch 1&2)?

Posted by Roshni Kumari 5 years, 9 months ago

CBSE > Class 09 > Mathematics

3 answers

Santosh Sahu 5 years, 9 months ago

Ok i m

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Manoj Kumar 5 years, 9 months ago

No one

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Ayush Baranwal 5 years, 9 months ago

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If value of x+1/x is 3+√8 than find the value of x^2+1/x^2

Posted by Sneh Lata Kamal 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 9 months ago

It is given that,
x = 3 + $\sqrt{8}$
Now, $\frac{1}{x}$ = $\frac{1}{3+\sqrt{8}}$ = $\frac{1}{3+\sqrt{8}} \times \frac{3-\sqrt{8}}{3-\sqrt{8}}$ ( rationalising the expression)
= $\frac{3-\sqrt{8}}{(3)^{2}-(\sqrt{8})^{2}}$
= $\frac{3-\sqrt{8}}{9-8}$ = 3 - $\sqrt{8}$
$\Rightarrow$ $\frac{1}{x}$ = 3 - $\sqrt{8}$
We know that, (x + $\frac{1}{x}$ )² = x² + $\frac{1}{x^2}$ + 2 $\times$ x $\times$ $\frac{1}{x}$
$\Rightarrow$ (3 + $\sqrt{8}$ + 3 - $\sqrt{8}$ )² = x² + $\frac{1}{x^2}$ + 2
$\Rightarrow$ (6)² = x² + $\frac{1}{x^2}$ + 2
$\Rightarrow$ 36 = x² + $\frac{1}{x^2}$ + 2
$\Rightarrow$ x² + $\frac{1}{x^2}$ = 36 - 2 = 34
Hence, x² + $\frac{1}{x^2}$ = 34

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