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Simplify : 274432564×242×72\frac{\sqrt[3]{2744}}{\sqrt[4]{256}} \times \frac{2}{42} \times 724256​32744​​×422​×72​
Question

Simplify : 274432564×242×72\frac{\sqrt[3]{2744}}{\sqrt[4]{256}} \times \frac{2}{42} \times 72

A.

5

B.

17

C.

12

D.

10

Correct option is C

Given
Expression: 274432564×242×72\frac{\sqrt[3]{2744}}{\sqrt[4]{256}} \times \frac{2}{42} \times 72​​
Solution
Calculate the roots:
27443=142564=4\sqrt[3]{2744} = 14 \\\sqrt[4]{256} = 4​​
Substitute these into the expression:
144×242×72 72×121×72 742×72 16×72=12\frac{14}{4} \times \frac{2}{42} \times 72 \\\ \\\frac{7}{2} \times \frac{1}{21} \times 72\\\ \\\frac{7}{42} \times 72\\\ \\\frac{1}{6} \times 72 = 12​​

Final Answer
So the correct answer is (c)

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