Question

find the smallest number by which 14850 should be multiplied to make it perfect cube.Also find the cube root of the perfect cube so obtained.​

Answer 1

Answer:

On prime factorization of 33275, we get,

33275=5×5×11×11×11

            =52×113

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.

Answer 2

Answer:

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