Question

show that each of the following number is a perfect cube also find the number whose cube is the given number 59319 step by step
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Answer 1

Answer:

Cube root of 59319 by prime factorization is 39.

Step-by-step explanation:

To find : Cube root of 59319 by prime factorization ?

Solution :

First we factor the number,

59319=3\times 3\times 3\times 13\times 13\times 1359319=3×3×3×13×13×13

59319=3^3\times 13^359319=3

3

×13

3

59319=(3\times 13)^359319=(3×13)

3

59319=(39)^359319=(39)

3

Taking cube root both side,

\sqrt[3]{59319}=39

3

59319

=39

Therefore, Cube root of 59319 by prime factorization is 39.

I hope this will help you..