Simplify square root of 126

$\sqrt{126}$

Step 1

Rewrite $126$ as $3^{2} \cdot 14$ .

Factor $9$ out of $126$ .

$\sqrt{9 (14)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 14}$

$\sqrt{3^{2} \cdot 14}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{14}$

Decimal Form:

$11.22497216 \dots$

Related Questions