Question

How do you simplify `sqrt45+sqrt180`?

Answer 1

`3sqrt45`

Explanation:

This is dividing the numbers by a square number then simplifying.

As 45 is not divisible by a square root number (other than 1) that stays the same

180 does divide by 9, but we want it 'compatible' with `sqrt45`
`180/45=4` and 4 is a square number so it can be re=-written like-

`sqrt45+sqrt(45*4)`

you can work out `sqrt4=2`

`sqrt45+2sqrt45`

that equals `3sqrt45`