The smallest number by which 252 should be divided to make it a perfect square is
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yanger
25.07.2018
Math
Secondary School
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find the smallest number by which 252 must be divided to get a perfect square.Also find the square root of the perfect square so obtained
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To find the least number which must be divided to 25, we shoukd find the LCM of 252.
252 = 2 × 2 × 3 × 3 × 7
Common factors = 2 × 3
Uncommon factors = 7
7 is the only number which does not have a pair.
So, 7 is the only number which must be divided 252 to get a perfect square.
252 ÷ 7 = 36
= 6
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