Question

Find the cube root of 857375 by prime factorisation method.

Answer 1

Answer:

95

Step-by-step explanation:

857375 / 5 =171475

171475 / 5 =34295

34295 / 5 =6859

6859 / 19 =361

361 / 19 =19

19 / 19 =1

So 857375= 5×5×5×19×19×19

=5³×19³

∛857375=58*19=95

Hence cube root of 857375 is 95

Answer 2

The cube root of 857375 by prime factorization method is 95. Step-by-step explanation:

Consider the provided information.

We need to find The cube root of 857375 by prime factorization method.

Factor the number 857375.

$857375= 5\times 5\times 5\times 19\times 19\times 19$

$857375= 5^3\times 19^3$

$857375= (5\times 19)^3$

$857375= (95)^3$

Taking cube root both side,  

$\sqrt[3]{857375}=95$

Therefore, the cube root of 857375 by prime factorization method is 95.

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