Question

evulate
$\sqrt[3]{1372} \times \sqrt[3]{1458}$
​

Answer 1

${\red{\underline{\underline{\bold{AnsweR:-}}}}}$

answer=63×2√2 = 126√2

${\green{\underline{\underline{\bold{SolutioN:-}}}}}$

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

hope it helps you..