CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Find the smallest number by which 3645 must be devided so that it becomes a perfect square. Also, find the square root of the resulting number.


Solution

iven number is 3645 
Write down the prime factors of 3645
3645=5*3*3*3*3*3*3

Organising the prime factors into pairs

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

We observe that only 5 doesn't exist in pair 

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

3645÷5= 729

Thus the resulting number is 729

√729=27 

There fore , 27 is the square root of resulting number 729 

hope it helped!

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image