How do you find the square root of 6561?

1 Answer
Jun 8, 2016

Answer:

#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#