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Value of \( \Large \frac{\sqrt{0.0001} \times \sqrt[3]{1000000}}{\sqrt[3]{0.125} \times \sqrt[3]{0.008}} \)

A) 1
B) 10
C) 0.1
D) 0.01

Correct Answer:


B) 10

Description for Correct answer:

\( \Large \frac{\sqrt{0.0001} \times \sqrt[3]{1000000}}{\sqrt[3]{0.125} \times \sqrt[3]{0.008}} \)

= \( \Large \frac{\sqrt{0.01 \times 0.01} \times \sqrt[3]{100 \times 100 \times 100}}{\sqrt[3]{0.5 \times 0.5 \times 0.5} \times \sqrt[3]{0.2 \times 0.2 \times 0.2}} \)

= \( \Large \frac{0.01 \times 100}{0.5 \times 0.2} = \frac{1}{0.1} = 10 \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

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