find the smallest number by which 3827 should be multiplied so that the product of perfect square also find the square root of new number
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firstly we have to find the prime factors of 3872
3872 = 2*2*2*2*2*11*11
while paring the factors, we observe that the prime factor 2 does not form a pair.
so, we multiply 3872 by 2 to make it a perfect square
new number = 3872*2 = 7744
∴√7744 = √2*2*2*2*2*2*11*11
= 2*2*2*11
√7744 = 88
Step-by-step explanation:
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