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Number of Factors of a Numbers

Find the cube...

Question

Find the cube root of 42875.

A

25

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B

35

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C

45

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D

55

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Solution

The correct option is B 35
The prime factor of 42875 = 5 × 5 × 5 × 7 × 7 × 7
The cube root of 42875 = $\sqrt[3]{5^{3} \times 7^{3}}$
= 5 $\times$ 7 = 35

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Q. Find The cube roots of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that
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(iv) −2744
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