Simplify each expression.

Question

1+sqrt(3)
______________
sqrt(3)-sqrt(2)

*this is a division radical expression

please show work!!

Answer 1

recall that (a-b)(a+b) = a^2 - b^2

(√3-√2)(√3+√2) = 3-2 = 1

so, you have

(1+√3)(√3+√2) = √3+3+√2+√6