Mark ( ) against the correct answer: [3] 216 64 = ? - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer: $\sqrt[3]{216\times64}=\ ?$

A
$64$
B
$32$
✓
$24$
D
$36$

✓

Answer

Correct option: C.

$24$

$\sqrt[3]{216\times64}$
$=\sqrt[3]{216}\times\sqrt[3]{64}$
$=\sqrt[3]{2\times2\times2\times3\times3\times3}\times\\\sqrt[3]{2\times2\times2\times2\times2\times2}$
$=\sqrt[3]{(2)^3\times(3)^3}\times\sqrt[3]{(2)^3\times(2)^3}$
$=\sqrt[3]{(6)^3}\times\sqrt[3]{(4)^3}$
$=6\times4$
$\sqrt[3]{216\times64}=24$
$\therefore\sqrt[3]{216\times64}=24$

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