find the smallest number by which 3872 should be multiplied so that the product is a perfect square also find the square root of the new number
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Answered by
67
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
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
Answered by
17
Answer:
The smallest no. is 2 and the perfect square that we have found is 7744.
And it's square is √7744=88
I hope that you will get your answer.
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