For a given number, find the smallest whole number by which it should be multiplied so as to get a perfect square number.
252

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Solution

$252 = 2 \times 2 \times 3 \times 3 \times 7$

$252 = 2^{2} \times 3^{2} \times 7$
Therefore, factors of 252 are one short of 7 for it to be a complete square. Hence, multiply 252 with 7 to make it a perfect square i.e. 1764
Also, $\sqrt{1764} = 2 \times 3 \times 7 = 42$

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For a given number, find the smallest whole number by which it should be multiplied so as to get a perfect square number.252

252=2×2×3×3×7252=22×32×7Therefore, factors of 252 are one short of 7 for it to be a complete square. Hence, multiply 252 with 7 to make it a perfect square i.e. 1764Also, √1764=2×3×7=42

For a given number, find the smallest whole number by which it should be multiplied so as to get a perfect square number.
252

$252 = 2 \times 2 \times 3 \times 3 \times 7$

$252 = 2^{2} \times 3^{2} \times 7$
Therefore, factors of 252 are one short of 7 for it to be a complete square. Hence, multiply 252 with 7 to make it a perfect square i.e. 1764
Also, $\sqrt{1764} = 2 \times 3 \times 7 = 42$