Question

$\large\mathbb \pink{\fcolorbox{pink}{black}{ QUESTION \ }}$

5. For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the
square number so obtained.

° (i) 252
° (ii) 180
° (iii) 1008
° (iv) 2028
° (v) 1458
° (vi) 768

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Answer 1

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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