divide, so that the quotient is a perfect square
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Prime factors of 216 = 2 × 2 × 2 × 3 × 3 × 3
216 = 2² × 3² × 2 × 3
We find that, there is no prime factor from a pair with 2 and 3
Therefore, We must divide the number by 6 so that the quotient becomes a perfect square.
If we divide the given number by 2 × 3 = 6, then
New number = 216/6= 36
Taking one factor from each, we get square root of new number (quotient)
= 2 × 3 = 6
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