Question

How do you simplify `sqrt270`?

Answer 1

`sqrt(270) = 3sqrt(30)`

Explanation:

`sqrt(270) =sqrt(9xx30)`

`color(white)("XXX")=sqrt(3^2xx30)`

`color(white)("XXX")=sqrt(3^2)xxsqrt(30)`

`color(white)("XXX")=3sqrt(30)`

`color(white)("XXX")30` does not contain any factors which are squares
`color(white)("XXX")`and therefore `sqrt(30)` can not be reduced further;