Question

How do you simplify `\frac { \sqrt { 63} + 24} { 3}`?

Answer 1

`8+sqrt7`

Explanation:

`(sqrt63+24)/3`
=`((sqrt9xxsqrt7)+24)/3`
=`((3xxsqrt7)+24)/3`
=`(3(sqrt7+8))/3`
=`8+sqrt7`

Answer 2

`sqrt(7) + 8`

Explanation:

1. First, you would simplify the square root of `63` by splitting it into `sqrt(7)` multiplied by `sqrt(9)` (because `9xx7=63`).
2. Then `sqrt(9)` reduces to `3`, so you have `3sqrt(7) + 24` (ignoring the dividing by `3` for now).
3. Then take `3sqrt(7) + 24` and divide each term by `3`.
4. The `3`'s in `3sqrt(7)` would cancel and give you `sqrt(7)`.
5. The `24` divided by `3` would give you `8`.
6. So your final answer is `sqrt(7) + 8`