Question

Докажите тождество!!!!!

Answer 1

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

Answer 2

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

Вывод: ч. т. д.