How do you find the square root of 6561?

1 Answer
Jun 8, 2016

sqrt6561=81

Explanation:

To find square root of 6561, we should first factorize it.

From divisibility rules, it is apparent that it is divisible by 3 and dividing by 3, we get 2187, which is again divisible by 3 and dividing by 3, we get 729.

729 is clearly again divisible by 3. Dividing by 3, we get 243, which is again divisible by 3 and dividing it by 3 we get 81, which is clearly 3xx3xx3xx3.

Hence, 6561=3xx3xx3xx3xx3xx3xx3xx3 and hence

sqrt6561=sqrt(bar(3xx3)xxbar(3xx3)xxbar(3xx3)xxbar(3xx3))

= 3xx3xx3xx3=81