Question

How do you solve `x^2 = 96`?

Answer 1

`4sqrt(6)`

Explanation:

We have an `x^2` on one side, but we want to make it into a plain `x`. We do that by taking the square root, and what we do to one side, we do to the other:
`x^2=96`
`sqrt(x^2)=96`
`x=sqrt(96)`

The next step is seeing if we can simplify the radical, and in this case we can. 96 can be broken down to `16*6`, which means`sqrt(96)` can be broken down to `sqrt(16)*sqrt(6)`. And because `sqrt(16)=4`, the expression simplifies to `4sqrt(6)`.