Question

How do you simplify `sqrt22.5`?

Answer 1

I am not sure it is such a grat simplification but anyway...

Explanation:

I would multiply and divide by `10`:
`sqrt(10/10*22.5)=sqrt(225/10)=15/sqrt(10)`
let us then rationalize multiplying and dividing by `sqrt(10)`:
`15/sqrt(10)*sqrt(10)/sqrt(10)=(15sqrt(10))/10=3/2sqrt(10)`