Question

How do you find the square root of 6561?

Answer 1

`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`