Question

How do you write an equation that shows a sum of two radicals with different radicands?

Answer 1

If both radicals are square roots, we can say we have `sqrt(a)+sqrt(b)=c`

We know that `c^2=(sqrt(a)+sqrt(b))^2=sqrt(a)^2+2sqrt(a)sqrt(b)+sqrt(b)^2=a+b+2sqrt(ab)`

`c=sqrt(a+b+2ab)`