Question

How do you simplify the 9 square root 125?

Answer 1

Radical form simplified: `45sqrt5`
Decimal form simplified: Around `100.62`

Explanation:

By 9 square root 125 I suppose you mean `9sqrt125`.

I'm not sure whether you want the simplified version to be in radical form or decimal form, but I'll show both.

Radical form :
To simplify this radical further, we have to see if the thing inside the `sqrt` has factors that are squarerootable (that's not a word). We know that `125` is divisible by `25`, and `25` can be square rooted to `5`. So `sqrt(125) = sqrt(5 * 25) = 5sqrt5`.

Remember we still have the `9` in front, meaning that it becomes:
`9 * 5sqrt5 = 45sqrt5`

Decimal form :
First, we plug into the calculator `sqrt125` to find the value of that, which is about `11.18`. Then we multiply this by `9` and get about `100.62`

Hope this helps!