Question

`(sqrt(3) - sqrt(12))^2` is ______.

Options

• irrational

• negative integer

• not real

• natural number

Answer 1

`(sqrt(3) - sqrt(12))^2` is natural number.

Explanation:

Let’s simplify:

`(sqrt(3) - sqrt(12))^2`

First, simplify `sqrt(12)`:

`sqrt(12)`

= `sqrt(4 xx 3)`

= `2sqrt(3)`

Now substitute:

`(sqrt(3) - 2sqrt(3))^2`

= `(-sqrt(3))^2`

= `(sqrt(3))^2`

= 3

So, the result is 3, which is a natural number.