## Algebra 1

$-180 \sqrt 5s^{3}$
$(-6 \sqrt 15s^{3}) \times (2 \sqrt 75)$ We multiply the constants -6 and 2. We multiply the numbers inside the square root. $(-6)(2) (\sqrt (15s^{3} \times 75))$ $-12 \sqrt 1125s^{3}$ $1125s^{3}$ has the factors of $5s^{3} \times 225$. $-12 \sqrt (5s^{3} \times 225)$ 225 is a perfect square. Square root of 225 is 15. Because 15 x 15 = 225 $(-12)(15) \sqrt 5s^{3}$ $-180 \sqrt 5s^{3}$