Question

(a²-7)/(a√2+√14) сократите дробь. срочно!!!

Answer 1

$frac{a^2-7}{a sqrt{2}+ sqrt{14} } = frac{(a^2-7)(a sqrt{2}- sqrt{14})}{(a sqrt{2}+ sqrt{14})(a sqrt{2}- sqrt{14}) } =frac{(a^2-7)(a sqrt{2}- sqrt{14})}{2a^2-14 } = \ \ =frac{(a^2-7)(a sqrt{2}- sqrt{14})}{2(a^2-7) } =frac{a sqrt{2}- sqrt{14}}{2 }$