Question

How do you simplify `sqrt45 + 5sqrt20 + 9sqrt3 + sqrt75`?

Answer 1

`sqrt45+5sqrt20+9sqrt3+sqrt75=13sqrt5+14sqrt3`

Explanation:

`sqrt45+5sqrt20+9sqrt3+sqrt75`

= `sqrt(ul(3xx3)xx5)+5sqrt(ul(2xx2)xx5)+9sqrt3+sqrt(ul(5xx5)xx3)`

= `3sqrt5+5xx2xxsqrt5+9sqrt3+5sqrt3`

= `3sqrt5+10sqrt5+9sqrt3+5sqrt3`

= `13sqrt5+14sqrt3`