Question

How do you simplify `((5+sqrt(3))(5-sqrt(3)))/(sqrt(22)^2`?

Answer 1

`((5+sqrt3)(5-sqrt3))/sqrt(22^2)=1`

Explanation:

`((5+sqrt3)(5-sqrt3))/sqrt(22^2)`

= `(5^2-(sqrt3)^2)/sqrt(22xx22)`

= `(25-3)/22`

= `22/22`

= `1`