Question

Find the smallest number by which 2925 should be divided to get a perfect square number . also find the

square root of the number so obtain .​

Answer 1

Answer:

The perfect "square root" of "225" is 15.

Given:

Given number is 2925

To find:

The "square root" of the obtained perfect square

Answer:

Given number is 2925

Prime factors of 2925 is

2925 = 3 \times 3 \times 5 \times 5 \times 132925=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 = \fraction {2925} {13} = 225New number=

13

2925

=225

Hence,

{225} = 3 \times 5 =15

225

=3×5=15

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