Question

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

Answer 1

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

Answer 2

Hello dear ✌

refer to the attachment