Question

desired number 8192by the smallest number so that the question is a perfect cube and find the cube root of the question​

Answer 1

Answer:

The answer is 2.

Explanation:

The given number is 8192 .

So, We have to do prime factorization.

∴ 8192 - 2^13 .

=8192 - 2^3 * 2^3 * 2^3 * 2^3 * 2^1.

Now, The power of 2 is 1 .

To become a perfect cube....The power should be 3.

The power of remaining 2's is 3.

But the power of one 2 is 1 .

So, it should be divided by 2 .

∴ 2 should be divided with 8192 to become perfect cube.