Question

How do you simplify `(6-sqrt(20))/2`?

Answer 1

`3-sqrt(5)`

Explanation:

Since `sqrt(20)=sqrt(4*5)=sqrt(4)*sqrt(5)=2sqrt(5)`, we can write

`(6-sqrt(20))/2=(6-2sqrt(5))/2=(cancel(2)(3-sqrt(5)))/cancel(2)=3-sqrt(5)`