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प्रश्न
Evaluate: \[\sqrt[3]{8 \times 17 \times 17 \times 17}\]
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उत्तर
Property:
For any two integers a and b
\[\sqrt[3]{ab} = \sqrt[3]{a} \times \sqrt[3]{b}\]
Use above property and proceed as follows:
\[\sqrt[3]{8 \times 17 \times 17 \times 17} = \sqrt[3]{2^3 \times {17}^3} = \sqrt[3]{2^3} \times \sqrt[3]{{17}^3} = 2 \times 17 = 34\]
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