Question

Убрать из знаменателя корень:

6
———
3√2+4

Answer 1

$ttcfrac{6}{3sqrt{2}+4} =cfrac{6(3sqrt{2}-4)}{(3sqrt{2}+4)(3sqrt{2}-4)}= cfrac{18sqrt{2}-24}{(3sqrt{2})^2-4^2}=cfrac{18sqrt{2}-24}{18-16}=\\\=cfrac{2(9sqrt{2}-12)}{2}=9sqrt{2}-12$