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

[latex] \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 } [/latex]