Question

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




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Answer 1

Answer:

Hope this helps you

Step-by-step explanation:

$3600 = 3 \times 3 \times 2 \times 2 \times 2 \times 5 \times2 \times 5 \\ \: \: \: \: \: \: \: = (3 \times 3)\times( 2 \times 2 \times 2 )\times (2) \times( 5 \times 5)$

The smallest number is

$3 \times 2 \times 2 \times 5 \\ = 60$

And cube root is=3*2*2*5=60