Find the smallest number by which 2925 must be divided to obtain a perfect square
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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 = \frac {2925} {13} = 225New number=
13
2925
=225
Hence,
\sqrt {225} = 3 \times 5 =15
225
=3×5=15
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