Question

what is the cube root of 216​

Answer 1

Given :- what is the cube root of 216 ?

Answer :-

finding prime factors of 216 we get,

→ 216 = 2 * 2 * 2 * 3 * 3 * 3

→ 216 = 2³ * 3³

we know that, cube of a number is basically multiple by itself three time .

so, we cube root will be taking one one from each factors,

then, taking one number from each pair we get,

→ cube root of 216 = 2 * 3 = 6 (Ans.)

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Answer 2

Given:

216

To find

cube root of a given number

Solution

Cube means we should multiply the number itself three times.

Prime Factors of 216:

$216 = (2 \times 2 \times 2) \times (3 \times 3 \times 3)$

$216 = {2}^ {3} \times {3}^ {3}$

$216 = {6}^{3}$

Hence, the required answer is $216 = {6}^{3}$

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