Question

Is the square root of 5 rational or irrational?

Answer 1

The answer would be: $\sqrt{5}$ is an irrational number. Why?

Because the definition of an irrational number is that: It's a number that can not be expressed as a fraction, or as a whole number.

And you can not make $\sqrt{5}$ a fraction.

So that's why it's an irrational number.

Hope this helped :)

Answer 2

The square root of 5,

$\sqrt 5$

is irrational. Of the natural numbers, only the perfect squares 1,4,9,16,25,... have rational square roots.

If a natural number has a rational square root that square root must necessarily be a natural number. Can you see why?