Question

estimate, whether each of the following numbers is a perfect cube. if not find the smallest number by which the number must be multiplied so that the product is a perfect cube. c) 120393​

Answer 1

Step-by-step explanation:

Correct option is

A

5

On prime factorization of 33275, we get,

33275=5×5×11×11×11

=5

2

×11

3

A perfect cube has factors with exponents 3.

Here, number of 5's is 2 and number of 11's is 3.

So, we need to multiply another 5 to the number 33275 to make it a perfect cube.

Hence, the smallest number by which 33275 must be multiplied to obtain a perfect cube is 5.