Question

For each of the following numbers, find the smallest whole number by which it should
be divided to get a perfect square. Also, find the square root of the square
number so obtained.
(i) 252 (ii) 2925 (iii) 396 (iv) 2645

Answer 1

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Answer:

i) 252 = 2×2×3×3×7

Therefore, we need to divide 252 by 7 in order to make it a perfect square.

So, 252/7

=36

√36 = 6

ii) 2925 = 3×3×5×5×13

Therefore, we need to divide 2925 by 13 in order to make it a perfect square.

So, 2925/13

=225

√225 = 15

iii) 396 = 2×2×3×3×11

Therefore, we need to divide 396 by 11 in order to make it a perfect square.

So, 396/11

=36

√36 = 6

iv) 2645 = 23×23×5

Therefore, we need to divide 2645 by 5 in order to make it a perfect square.

So, 2645/5

=529

√529 = 23

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