Question

prove that 1/√2 is a irrational

Answer 1

Step-by-step explanation:

Let us assume that 1/√2 is a rational number.

Which means that 1/√2 = a/b

(bcoz a rational number is a number in the a upon b form where b is not zero)

1/√2 = a/b

√2 = 1× a/b

√2 = a/b

But, √2 is an irrational number

And a/b is a rational number

•Our assumption that 1/√2 is a rational number was wrong.

•So, 1/√2 is an irrational number

Answer 2

★ Refer to the attachment