Question

Simplify. Remove all perfect squares from inside the square root. "TexFormula1" title="\sqrt{63}" alt="\sqrt{63}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$3 \sqrt{7}$

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

$\sqrt{3 \times 3 \times 7}$

2) Group the same prime factors into pairs.

$\sqrt{(3 \times 3) \times 7}$

3) Rewrite each pair in exponent form.

$\sqrt{ {3}^{2} \times 7 }$

3) Use this rule

$\sqrt{ {x}^{2} } = x$

$3 \sqrt{7}$