Question

find the smallest number by which 3645 must be divided so that it becomes a perfect square .also find the square also find the square root of the resulting number

Answer 1

devide by 5
√729 = 27

Answer 2

Hi . dear Here is your answer...



3645=5*3*3*3*3*3*3

arranging these prime factors into pairs

3645=(3*3)(3*3)(3*3)*5

We get that only 5 doesnt exist in pair

So,the smallest number that should be divided from 3645 to make it a perfect square is 5

3645÷5= 729
hence... the resulting number is 729

√729=27

so ... 27 is the square root of resulting number 729 .
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