Question

prove that 1 by root 2 is irrational ​

Answer 1

Answer:

Let us assume 1/root2 as rational

Let us multiply root2 up and down.

So, root2/2 = a/b ( a and b are integers and b not equal to 0)

root2 = a*2/b

=integer * 2 / integer

= rational

But this contradicts with the fact that root 2 is irrational

Therefore our assumption is wrong, 1/root2 is irrational

Answer 2

Answer:

Let us assume 1/root2 as rational

Let us multiply root2 up and down.

So, root2/2 = a/b ( a and b are integers and b not equal to 0)

root2 = a*2/b

= integer * 2 / integer

= rational

But this contradicts with the fact that root 2 is irrational

Therefore our assumption is wrong, 1/root2 is irrational

Step-by-step explanation: