Answer
= $ -180s\sqrt 5s$
Work Step by Step
Simplifying $ -6\sqrt 15s^3 \times 2 \sqrt 75$
($-6\times2) (\sqrt 15s^3 \times \sqrt 75)$
= $ -12\sqrt 1125s^3$
Finding the perfect square factor of $1125s^3$
$1125s^3 = 5\times 225 \times s^3$
= $ 5 \times 15^2 \times s^2 \times s$
= $5s (15s)^2$
Continue Simplifying:
$ -12\sqrt 1125s^3 = -12(\sqrt 5s \times \sqrt (15s)^2)$
= $-12( \sqrt 5s \times 15s)$
= $ -180s\sqrt 5s$
