Question
Find the cube root of the following numbers:
8 × 125
8 × 125
✓
Answer
Property:
For any two integers a and b, $\sqrt[3]{\text{ab}}=\sqrt[3]{\text{a}}\times\sqrt[3]{\text{b}}$
From the above property, we have:
$\sqrt[3]{8\times125}$
$=\sqrt[3]{8}\times\sqrt[3]{125}$
$=\sqrt[3]{2\times2\times2}\times\sqrt[3]{5\times5\times5}$
$=2\times5=10$
For any two integers a and b, $\sqrt[3]{\text{ab}}=\sqrt[3]{\text{a}}\times\sqrt[3]{\text{b}}$
From the above property, we have:
$\sqrt[3]{8\times125}$
$=\sqrt[3]{8}\times\sqrt[3]{125}$
$=\sqrt[3]{2\times2\times2}\times\sqrt[3]{5\times5\times5}$
$=2\times5=10$
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