4. Find the smallest whole number by which of the following numbers should be divided so as to get a perfect
square. Also find the square root of the square number so obtained:
(1)588
(2)5046
(3)19220
(4)11767
(5)3757
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Explaination : Find the prime factorization of the given no. ( take 588 ) .
588 = 2×2×2×61
Since 2 and 61 are left unpaired the smallest no. Needed to be divided is
61×2 = 122 .
Now find the square root of the no. You get .
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