Question

find the value of the following cube root of 1458 ✖ 108 ​

Answer 1

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kakkar6644

kakkar6644

23.05.2016

Math

Secondary School

+5 pts

Answered

Evaluate : ³√1372× ³√1458

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Rishijain123 plz. Answer

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THE BRAINLIEST ANSWER!

Reshma18

Reshma18 Virtuoso

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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