Simplify square root of 63x^10

$\sqrt{63 x^{10}}$

Step 1

Rewrite $63 x^{10}$ as ${(3 x^{5})}^{2} \cdot 7$ .

Factor $9$ out of $63$ .

$\sqrt{9 (7) x^{10}}$

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

$\sqrt{3^{2} \cdot 7 x^{10}}$

Rewrite $x^{10}$ as ${(x^{5})}^{2}$ .

$\sqrt{3^{2} \cdot 7 {(x^{5})}^{2}}$

Move $7$ .

$\sqrt{3^{2} {(x^{5})}^{2} \cdot 7}$

Rewrite $3^{2} {(x^{5})}^{2}$ as ${(3 x^{5})}^{2}$ .

$\sqrt{{(3 x^{5})}^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$3 x^{5} \sqrt{7}$