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Q)

Find the smallest number by which 2925 should be divided to make it a perfe

Find the smallest number by which 2925 should be divided to make it a perfect square and hence find the square root of the number 2925

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A)

Given number is 2925

Prime factors of 2925 is

2925=3*3*5*5*13

Thus 13 is the smallest number must be divided by 2925 in order to get perfect square.

Therefore

new number=2925/13=225

√225=3*5=15

 

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