find the smallest number by which 3645 must be divided so that it become a perfect square .also find the square root of the resulting number
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27
First we have to find the prime factors of 3645
So, 3645 = 3×3×3×3×3×3×5
Here we can see that prime factor 5 does not form a pair
So, 3645 must be divided by 5 to make it a perfect square and the resulting number will be , 3645/5 = 729
Square root of resulting number is
√729 = 27
So, 3645 = 3×3×3×3×3×3×5
Here we can see that prime factor 5 does not form a pair
So, 3645 must be divided by 5 to make it a perfect square and the resulting number will be , 3645/5 = 729
Square root of resulting number is
√729 = 27
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Hello dear ✌
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