Question

2/√5 is a rational number is it true or false​

Answer 1

Answer:

no,because denominator is not in the form of whole number

Answer 2

Answer - Its false

Explanation -

Let us assume that

$\frac{2} { \sqrt{5} }$

is a rational number.

Hence it can be written in the form of

$\frac{a}{b}$

where a and b are co-primes and and q is not equal to zero.

$= > \frac{2}{ \sqrt{5} } = \frac{a}{b} \\ = > \sqrt{5} = \frac{b}{2a}$

Here,

$\frac{b}{2a}$

is a rational number.

But √5 is irrational.

Since, Rational number is not Equal to irrational

This is a contradiction.

Our Assumption is false.

Hence, 2/√5 is not a rational number therefore it's an irrational number