Question

Can someone pls tell me if this is correct ? Please help I have to show this work in tuition
glt hua to muje daant paregi boht
Ch - Real Numbers
Class 10th
Don't even try to post irrevalent answers otherwise your 10 answers will be reported​

Answer 1

Answer:

Let us assume 1/√2 is rational. So we can write this number as

1/√2=a/b ---- (1)

Here, a and b are two co-prime numbers and b is not equal to zero.

Simplify the equation (1) multiply by √2 both sides, we get

1=a√2/b

Now, divide by b, we get

$b=a \sqrt{2}  or  \frac{b}{a} = \sqrt{2} </p><p>$

Here, a and b are integers so, b/a is a rational number,

so √2should be a rational number.

But √2 is a irrational number, so it is contradictory.

Therefore, 1/√2 is irrational number