Question

Докажите тождество!!!!!

Answer 1

$\frac{\sqrt{15}+4}{4-\sqrt{15}}=\frac{(\sqrt{15}+4)(4+\sqrt{15})}{(4-\sqrt{15})(4+\sqrt{15})}=\frac{(\sqrt{15}+4)^{2}}{16-15}=(\sqrt{15}+4)^{2}=15+8\sqrt{15}+16 \\ 31+8\sqrt{15}=31+8\sqrt{15}$

Вывод: ч. т. д.

Answer 2

(√15+4)*(4+√15)/(16-15)=(√15+4)²=15+8√15+16=31+8√15