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Find the cube root of the following number  8 × 125 . - Mathematics

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Question

Find the cube root of the following number  8 × 125 .

Sum

Solution

Property:
For any two integers a and b,

\[\sqrt[3]{ab} = \sqrt[3]{a} \times \sqrt[3]{b}\]

From the above property, we have:

\[\sqrt[3]{8 \times 125} = \sqrt[3]{8} \times \sqrt[3]{125} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{5 \times 5 \times 5} = 2 \times 5 = 10\]

 

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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 3.1 | Page 30

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