Question

((17+12√2)/(2√2+3)) - 2√2 =?

Answer 1

$frac{17+12sqrt{2}}{3+2sqrt{2}}-2sqrt{2}=\\ frac{17+12sqrt{2}-2sqrt{2}(3+2sqrt{2})}{3+2sqrt{2}}=\\ frac{9+6sqrt{2}}{3+2sqrt{2}} = 3$