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Let us assume √2 is rational number.
a rational number can be written into he form of p/q
√2=p/q
p=√2q
Squaring on both sides
p²=2q²__________(1)
.·.2 divides p² then 2 also divides p
.·.p is an even number
Let p=2a (definition of even number,'a' is positive integer)
Put p=2a in eq (1)
p²=2q²
(2a)²=2q²
4a²=2q²
q²=2a²
.·.2 divides q² then 2 also divides q
Both p and q have 2 as common factor.
But this contradicts the fact that p and q are co primes or integers.
Our supposition is false
.·.√2 is an irrational number.

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Evaluate the following using a suitable identity: a) 998 Cube b)10.2 cube c)9.8 cube d)998^_ 4 e)999^_1

Posted by Himashree Chandrashekar 4 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

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The sum of rational and an irrirational number

Posted by Ombir Singh 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Rashi ?? 4 years, 5 months ago

The sum of rational and irrational is always an irrational

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What is mirror image in coordinate geometry

Posted by T S Tarun Rajput 4 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

T S Tarun Rajput 4 years, 4 months ago

For example (-2,-2) the mirror image is (2,-2)

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What is square part of 23419

Posted by Abhay Kumar 4 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

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1.5 question number three

Posted by Richa Rathi 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Princes Mahant 4 years, 5 months ago

sityoudh kise kahte hai

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Express 1.32+0.35as a fration in simplest form( bar is on 32&35)

Posted by Vikash Kumar 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajan Kumar Pasi 4 years, 5 months ago

Just like given in the chapter 1 example, first convert each number into a rational number form. For example: Let x=1.32323232...... eq.1 Thus, 100x = 132.323232.... eq.2 Subtracting eq.2 by eq.1 we will get, 99x = 131 So, x = 131/99 Similarly Let y =0.353535...... eq.3 Thus, 100y = 35.35353535.... eq.4 Subtracting eq. 4 by eq. 3 we will get, 99y = 35 So, y = 35/99 Thus the given question can be written as : -> x + y = 131/99 + 35/99 -> (131 + 35 )/99 -> 166/99 (Final Answer). ~----------------THE END----------------~

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8+8=

Posted by Gopal Gupta 4 years, 5 months ago

CBSE > Class 09 > Mathematics

4 answers

Rashi ?? 4 years, 5 months ago

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Sarabjeet Singh Dandiwal 4 years, 5 months ago

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Ritik Varshney 4 years, 5 months ago

8+8=16

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V Das Das 4 years, 5 months ago

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If x=7root40 find rootX +1by root x

Posted by God Of Death 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajan Kumar Pasi 4 years, 5 months ago

If\\\ { x = 7\sqrt{40}} \\ {Then, Find \ \ \sqrt{x}+\frac{1}{\sqrt{x}}?}

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If present age of son and father are expressed by x and y respectively and after 10 years father will be twice as old as his son. Write the relation between x and y.

Posted by Lovekesh Yadav 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajan Kumar Pasi 4 years, 5 months ago

Present	Future ( +10 years )	Relation
Father (x)	x + 10	double of sons age
Son (y)	y + 10	age

Therefore, x + 10 = 2 (y + 10)
=> x + 10 = 2y + 20
=> x - 2y = 10.

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factorise x^2 +3 root 3 +6 slitting middle term

Posted by V Das Das 4 years, 5 months ago

CBSE > Class 09 > Mathematics

2 answers

Rajan Kumar Pasi 4 years, 5 months ago

Question is not clear.

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V Das Das 4 years, 5 months ago

please immidiatly

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If x+y=12 and xy =32,find the value of x2 +y2

Posted by Vaibhav Mittal 4 years, 5 months ago

CBSE > Class 09 > Mathematics

3 answers

Rashi ?? 4 years, 5 months ago

112

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Yogita Ingle 4 years, 5 months ago

x+y=12 ------(1)
Squaring equation 1 on both sides
(x+y)² = 12²-----(2)

(a+b)²=a²+2ab+b²

Now comparing (x+y)² with (a+b)² here a=x and b=y

So Equation 2 becomes
(x+y)² = 12²
x²+2xy+y² =12²
x²+y² = 144 - 2xy----(3)

But in question its given that xy= 32

So, substituting xy = 32 in equation 3

x²+y² =144-2*32

x²+y² =144-64 = 80.

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Suraj Singh 4 years, 5 months ago

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There are parallelogram ABCD and parallelogram EFCD where AL is perpendicular to DC Prove that area of parallelogram ABCD is equal to DC ×AL

Posted by A B 4 years, 5 months ago

CBSE > Class 09 > Mathematics

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Twice of x is 30 less than y .find x and y if their sum is 180

Posted by Rashi ?? 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Tripti Bala 4 years, 5 months ago

If twice of x is 30 less than y , Then 2x +30 = y Now, x + y = 180 X + (2x + 30) = 180 3x + 30 = 180 3x = 180 - 30 3x = 150 X = 50 Now, 2x + 30 = y 2(50) + 30 = y 100 + 30 = y Y = 130

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Verify p(x)=ix+m,if x =-m/i

Posted by Binod Sharma 4 years, 5 months ago

CBSE > Class 09 > Mathematics

2 answers

Binod Sharma 4 years, 5 months ago

Show me step by step

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Suraj Singh 4 years, 5 months ago

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In a cricket match a batswoman hits a boundry 6 times out of 30 balls she plays . Find the probability that she did not hit a boundry

Posted by Aman Singh 4 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Suraj Singh 4 years, 5 months ago

4/5

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What is the square root of 14

Posted by Alpesh Patel 4 years, 5 months ago

CBSE > Class 09 > Mathematics

3 answers

Suraj Singh 4 years, 5 months ago

3.74

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Nishchay Sharma 4 years, 5 months ago

3.742 is the square root of 14

1Thank You

Sachin Kumar 4 years, 5 months ago

The square root of 14 is 196

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How we proveany no is irrational or how we. Show irrational. On number. Line

Posted by Dahu Bharna Saur Bazar 4 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

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X par power 4+x par power 2+ 25

Posted by Tannu Kumar 4 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

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X2+2 Find the polynomials

Posted by Aliya Ansari 4 years, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

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Chapter 2 exercise 2•5 questions 8

Posted by Neha Barthwal 4 years, 5 months ago

CBSE > Class 09 > Mathematics

2 answers

Prabhat Gupta 4 years, 5 months ago

Search online

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Prabhat Gupta 4 years, 5 months ago

Factorise each of the following: (i) 8a3 + b3 + 12a26 + 6ab2 (ii) 8a3 – b3 -12a26 + 6a62 (iii) 27 – 125a3 – 135 a + 225 a2 64a3 (iv) 27{ p }^{ 3 }-\cfrac { 1 }{ 216 } -\cfrac { 9 }{ 2 } { p }^{ 2 }+\cfrac { 1 }{ 4 } p Solution: NCERT Solutions for Class 9 Maths Chapter 2 Polynomials 10 NCERT Solutions for Class 9 Maths Chapter 2 Polynomials 11

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If, 1+5x=16 Then, The value of (x) is how much?

Posted by Amlan Panda 4 years, 5 months ago

CBSE > Class 09 > Mathematics