Question

How do you simplify `(7-sqrt7)/(10+sqrt3)`?

Answer 1

See below

Explanation:

Given expression ,

`(7-sqrt7)/(10+sqrt3)`

We get,

`(7-sqrt7)/(10+sqrt3) * (10-sqrt3)/(10-sqrt3) =` `((7-sqrt7)*(10-sqrt3))/(10^2-(sqrt3)^2)=` `(70-7sqrt3-10sqrt7+sqrt21)/97`