Simplify square root of 63/25

$\sqrt{\frac{63}{25}}$

Rewrite $\sqrt{\frac{63}{25}}$ as $\frac{\sqrt{63}}{\sqrt{25}}$ .

$\frac{\sqrt{63}}{\sqrt{25}}$

Simplify the numerator.

Rewrite $63$ as $3^{2} \cdot 7$ .

Factor $9$ out of $63$ .

$\frac{\sqrt{9 (7)}}{\sqrt{25}}$

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

$\frac{\sqrt{3^{2} \cdot 7}}{\sqrt{25}}$

Pull terms out from under the radical.

$\frac{3 \sqrt{7}}{\sqrt{25}}$

Simplify the denominator.

Rewrite $25$ as $5^{2}$ .

$\frac{3 \sqrt{7}}{\sqrt{5^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{3 \sqrt{7}}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \sqrt{7}}{5}$

Decimal Form:

$1.58745078 \dots$