Question

Show the steps of square rootof 6889 ?

Answer 1

The square root of `64` is `8`, so the square root of `6400` is `80`. That means the square root of `6889` is larger than `80`.

The number ends in a `9`, so the square root, if it is a whole number, ends in `3`. Therefore, my first guess is `83`.

`sqrt(6889) = 83`?

So let's try to work backwards to verify.

`83 xx 83`

`= 80 xx 80 + 3 xx 83 + 80 xx 3`

`= 6400 + 249 + 240`

`= 6889` `color(blue)(sqrt"")`