find which of the following numbers are not perfect squares and find the smallest number by which this number should be divided so that the result is a perfect square 9025
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perfect square can always be expressed as a product of equal factors.
(i)
Resolving into prime factors:
441=49×9=7×7×3×3=7×3×7×3=21×21=(21)2
Thus, 441 is a perfect square.
(ii)
Resolving into prime factors:
576=64×9=8×8×3×3=2×2×2×2×2×2×3×3=24×24=(24)2
Thus, 576 is a perfect square.
(iii)
Resolving into prime factors:
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