find the smallest number by which 252 must be multiplied to get a perfect square also find the square root of the perfect square so obtained.
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252 = 2 x 2 x 3 x 3 x 7
Here, prime factor 7 has no pair. Therefore 252 must be multiplied by 7 to make it a perfect square.
\therefore252\times7=1764∴252×7=1764
And (i) \sqrt{1764}=2\times3\times7=42
1764
=2×3×7=42
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