Question

Is the square root of 5 rational or irrational?

Answer 1

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?

Answer 2

The answer would be:
`√(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
`√(5)` a fraction.

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

Hope this helped :)