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\( \frac{\sqrt[3]{1331}}{\sqrt[4]{4096}} \times \frac{4}{33} \times 48 = ?\)
1. 6
2. 8
3. 9
4. 5

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Correct Answer - Option 2 : 8

CALCULATIONS:

\( \sqrt[3]{1331}\) = (11 × 11 × 11)(1/3) = 11

\( \sqrt[4]{4096}\) = (8 × 8 × 8 × 8)(1/4) = 8

\( \frac{\sqrt[3]{1331}}{\sqrt[4]{4096}} × \frac{4}{33} × 48 = \) \(\frac{11}{8} × \frac{4}{33} × 48\)

⇒ (1/6) × 48 = 8 

∴ The simplified value is 8

\( \sqrt[4]{4096}\) = (8 × 8 × 8 × 8)(1/4) = 8

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