Simplify. Remove all perfect squares from inside the square root. √(63)

Question

Simplify.
Remove all perfect squares from inside the square root.

`√(63)`

Answer 1

`3 √(7)`

Explanation:

1) Rewrite 63 as its prime factors.

`√(3 * 3 * 7)`

2) Group the same prime factors into pairs.

`√((3 * 3) * 7)`

3) Rewrite each pair in exponent form.

`\sqrt{ {3}^(2) * 7 }`

3) Use this rule

`\sqrt{ {x}^(2) } = x`

`3 √(7)`