Question

Объясните как решить.(Подробно,по действиям)

Answer 1

$frac{( sqrt{2}+ sqrt{12})^{2} }{7+sqrt{24}} = \ = frac{2+2 sqrt{24}+12 }{7+ sqrt{24} }= \ = frac{14+2 sqrt{24} }{7+ sqrt{24}}= frac{2(7+ sqrt{24})}{(7+ sqrt{24}) } = 2$

Answer 2

$frac{( sqrt{2}+ sqrt{12})^{2}}{7+ sqrt{24}}= frac{( sqrt{2})^{2}+2* sqrt{2}* sqrt{12}+( sqrt{12})^{2} }{7+ sqrt{24}}= frac{2+2 sqrt{24}+12}{7+ sqrt{24}}= frac{14+2 sqrt{24}}{7+ sqrt{24}}= frac{2(7+ sqrt{24})}{7+ sqrt{24}}$=2.
Ответ: 2.