Question

if 1/√5 is a rational number give reason​

Answer 1

Answer:

1/√5 is an irrational number.

it not an rational number.

Step-by-step explanation:

Let us assume that 1/√5 be a rational number.

Then, it will be of the form a/b wher a and b are co-prime and b= 0.

Now,

a/b= 1/√5

a/b=1×√5/√5×√5

5a/b=√5

Since, 5a is an integer and b is also an integer.

So

5a/b is a rational number.

⇒ √5 is a rational number.

But this contradicts to the fact that √5 is an irrational number.

Therefore, our assumption is wrong.

Hence,1/√5 is an irrational number.