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Evaluate of the following 3 √ 0 . 1 × 0 . 1 × 0 . 1 × 13 × 13 × 13 - Mathematics

Sum

Evaluate of the following

\[\sqrt[3]{0 . 1 \times 0 . 1 \times 0 . 1 \times 13 \times 13 \times 13}\]

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Solution

To evaluate the value of the expression, we need to proceed as follows:

\[\sqrt[3]{0 . 1 \times 0 . 1 \times 0 . 1 \times 13 \times 13 \times 13} = \sqrt[3]{\frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times 13 \times 13 \times 13} = \sqrt[3]{\frac{13 \times 13 \times 13}{10 \times 10 \times 10}} = \frac{\sqrt[3]{13 \times 13 \times 13}}{\sqrt[3]{10 \times 10 \times 10}} = \frac{13}{10} = 1 . 3\]

Thus, the answer is 1.3.

 
 
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.4 | Q 7.5 | Page 30
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