Question: Rationalize the denominators and simplify: $\dfrac{√3 -√2}{√3+√2}$

Solution:
Given,

$= \dfrac{√3-√2}{√3+√2}$

$= \dfrac{√3-√2}{√3+√2} × \dfrac{√3-√2}{√3-√2}$

$= \dfrac{(√3-√2)²}{(√3)²-(√2)²}$

$= \dfrac{(√3)²-2×√3×√2 + (√3)²}{3-2}$

$= \dfrac{3 - 2√6 +2}{1}$

$= 5 - 2√6$
= Answer