Question

Multiply and simplify: ^3 sqrt-8 ^3 sqrt 54 ^3 sqrt 135

Answer 1

\[\large
\sqrt[3]{-8} \times \sqrt[3]{54} \times \sqrt[3]{135} ~~~?
\]

Answer 2

-8 = -2 * -2 * -2 = (-2)^3
54 = 27 * 2 = 3^3 * 2
135 = 27 * 5 = 3^3 * 5

Answer 3

\[
\large
\sqrt[3]{-8} \times \sqrt[3]{54} \times \sqrt[3]{135} =
\sqrt[3]{(-2)^3} \times \sqrt[3]{3^3 * 2} \times \sqrt[3]{3^3*5} = \\ \large
-2 \times 3 \times \sqrt[3]{2} \times 3 \times \sqrt[3]{5} = -18 \times \sqrt[3]{10}

\]