Question

Find the smallest perfect number by which, following number are multiplied, so that the product is perfect cube find out cube root :
(a) 33275
(b) 6750
(c) 3087​

Answer 1

Answer:

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.

Step-by-step explanation:

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Answer 2

Answer:

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.