Answer
(a) $12\sqrt{2}$
(b) $3$
(c) $5\sqrt[3]{9}$
Work Step by Step
(a) $\sqrt{12}\sqrt{24}=\sqrt{12*24}=\sqrt{288}=\sqrt{144*2}=\sqrt{2*12^{2}}=12\sqrt{2}$
(b) $\frac{\sqrt{54}}{\sqrt{6}}=\sqrt{\frac{54}{6}}=\sqrt{9}=3$
(c) $\sqrt[3]{15}\sqrt[3]{75}=\sqrt[3]{15*75}=\sqrt[3]{1125}=\sqrt[3]{125*9}=5\sqrt[3]{9}$
