Simplify square root of 15x^2 square root of 15x

$\sqrt{15 x^{2}} \sqrt{15 x}$

Step 1

Reorder $15$ and $x^{2}$ .

$\sqrt{x^{2} \cdot 15} \sqrt{15 x}$

Step 2

Pull terms out from under the radical.

$x \sqrt{15} \sqrt{15 x}$

Step 3

Multiply $x \sqrt{15} \sqrt{15 x}$ .

Combine using the product rule for radicals.

$x \sqrt{15 x \cdot 15}$

Multiply $15$ by $15$ .

$x \sqrt{225 x}$

Step 4

Rewrite $225$ as $15^{2}$ .

$x \sqrt{15^{2} x}$

Step 5

Pull terms out from under the radical.

$x (15 \sqrt{x})$

Step 6

Rewrite using the commutative property of multiplication.

$15 x \sqrt{x}$