Question

Evaluate : ³√1372× ³√1458

Answer 1

See he pic u will get it

Answer 2

Answer:

First we have to find the cube root of 1372 and 1458 by the prime factorisation method. Then we will get;

 

∛1372 =  ∛2×2×7×7×7 (after factorizing)

   i.e; ∛1372 = 7√4

∛1458 = ∛2×3×3×3×3×3×3

∛1458 =  3×3√2 = 9√2

so ∛1372 × ∛1458 = 7√4 × 9√2 = 63√8 (we can simplify √8 = 2√2)

                                              So the final answer = 63×2√2

                                                                             =  126√2

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