Question

By what smallest number should 10584 be multiplied so that product may be perfect square?​

Answer 1

Answer:

192

Step-by-step explanation:

Prime factorisation of 10584 is 

10584=23×32×72

Now for the above to be a perfect square we can see that we need to multiply 2×3=6

∴ the least number to be multiplied to 10584 to make it a perfect square is 6

∴10584×6=23×33×72×2×3=24×34×72

The square root of this new number is

24×34×72=22×32×7=4×9×7=63×4=192

Answer 2

Answer:

To make 5400 a perfect cube, we have to multiply it by smallest number 5. ∴ To make 10584 as a perfect cube, we have to multiply it by smallest number 7.

Step-by-step explanation:

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