Is 3750 a perfect square ? If not , Find the smallest number by which 3750 must be multiplied so that the product may be a perfect square and find the square root of the product.
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Answer:
150
Step-by-step explanation:
Lets get prime factors first:
3750=2*3*5*5*5*5
As we see the number is not a perfect square as it has single factors of 2 and 3 and 4 factors of 5
We need to multiply it by 2*3=6 to get
a perfect square of 2²3²25²= 150² = 22500 22500, multiple = 6
So the answer is: root=150, perfect square=
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