Simplify ( square root of 15p)/( square root of 5)

$\frac{\sqrt{15 p}}{\sqrt{5}}$

Step 1

Combine $\sqrt{15 p}$ and $\sqrt{5}$ into a single radical.

$\sqrt{\frac{15 p}{5}}$

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{15 p}{5}$ by cancelling the common factors.

Factor $5$ out of $15 p$ .

$\sqrt{\frac{5 (3 p)}{5}}$

Factor $5$ out of $5$ .

$\sqrt{\frac{5 (3 p)}{5 (1)}}$

Cancel the common factor.

$\sqrt{\frac{5 (3 p)}{5 \cdot 1}}$

Rewrite the expression.

$\sqrt{\frac{3 p}{1}}$

Divide $3 p$ by $1$ .

$\sqrt{3 p}$