Question

How do you simplify `(-6 + sqrt99) /15`?

Answer 1

`(-6+sqrt(99))/15=color(red)((-2+sqrt(11))/5)`

Explanation:

`(-6+sqrt(99))/15`
`color(white)("XXX")=(-3 * 2+ sqrt(9) * sqrt(11))/(3 * 5)`

`color(white)("XXX")=(-3 * 2 + 3 * sqrt(11))/(3 * 5)`

`color(white)("XXX")=(cancel(3) * (-2+sqrt(11)))/(cancel(3) * 5)`