Simplify 5 square root of 9*5 square root of 9

$5 \sqrt{9} \cdot 5 \sqrt{9}$

Step 1

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

$5 \sqrt{3^{2}} \cdot (5 \sqrt{9})$

Step 2

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

$5 \cdot 3 \cdot (5 \sqrt{9})$

Step 3

Multiply $5$ by $3$ .

$15 \cdot (5 \sqrt{9})$

Step 4

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

$15 \cdot (5 \sqrt{3^{2}})$

Step 5

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

$15 \cdot (5 \cdot 3)$

Step 6

Multiply $15 (5 \cdot 3)$ .

Multiply $5$ by $3$ .

$15 \cdot 15$

Multiply $15$ by $15$ .

$225$