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Cubes and Cube Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots2 Marks
Question
Fill in the blanks:
$\sqrt[3]{125\times27}=3\times...$
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Answer

$\sqrt[3]{125\times27}=3\times\underline5$
Solution:
$\because\sqrt[3]{125\times27}$
$=\sqrt[3]{125}\times\sqrt[3]{27}$
$=\sqrt[3]{5\times5\times5}\times\sqrt[3]{3\times3\times3}$
$=5\times3$ (Commutative law)

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