Question

Find the smallest number which when multiplied with 3600
a perfect cube. Further, find the cube root of the product.​

Answer 1

The answer is 60

Cubic root of 216000 = 60

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Answer 2

Explanation:

the prime factorisation of 3600 can be done as follows

2!-3600

2!-1800

2!-900

2!-450

3!-225

3!-75

5!-25

5!-5

!-1

here if we see we will find that Two 2s and a 3s

and a 5s are not appearing in the group of three

therefore we multiply by 2*2*3*5 in 3600

to make a perfect cube.

=60*3600

=216000

this is the required cube

now further cube root of new num. obtained aftrr product

= cube root 216000

=60