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3 √ 125 × 27 = 3 × . . . - Mathematics

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Question

\[\sqrt[3]{125 \times 27} = 3 \times . . .\]

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Solution

5

\[\sqrt[3]{125 \times 27} = 3 \times 5 \]  

∵ \[\sqrt[3]{125 \times 27} = \sqrt[3]{125} \times \sqrt[3]{27} = \sqrt[3]{5 \times 5 \times 5} \times \sqrt[3]{3 \times 3 \times 3}\]

\[ = 5 \times 3\]

\[= 3 \times 5\]  ( Commutative law ) 

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Chapter 4: Cubes and Cube Roots - Exercise 4.4 [Page 30]

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RD Sharma Mathematics [English] Class 8
Chapter 4 Cubes and Cube Roots
Exercise 4.4 | Q 9.1 | Page 30

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