Question

simplify 5^3sqrt96
simplify 5^3sqrt96
@Mathematics

Answer 1

\[5\sqrt[3]{96}\]

Answer 2

96 = 2 x 2 x 2 x 2 x 2 x 3
96 = 2^5 x 3
cubic root ( 2^5 x 3) = 2 cubic root(2^2 x 3)
answer is
\[10\sqrt[3]{12}\]

Answer 3

\[5 \cdot \sqrt[3]{8 \cdot 12}=5 \cdot \sqrt[3]{2^3 \cdot 12}=5 \cdot \sqrt[3]{2^3} \cdot \sqrt[3]{12}\]

Answer 4

\[5(2)\cdot \sqrt[3]{12} =10 \cdot \sqrt[3]{12}\]