Simplify ( square root of 15)/( square root of 9+6)

$\frac{\sqrt{15}}{\sqrt{9} + 6}$

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

$\frac{\sqrt{15}}{\sqrt{3^{2}} + 6}$

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

$\frac{\sqrt{15}}{3 + 6}$

Add $3$ and $6$ .

$\frac{\sqrt{15}}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{15}}{9}$

Decimal Form:

$0.43033148 \dots$