Question

(корень 2+корень 14)^2 как решить ?

Answer 1

$( sqrt{2}+sqrt{14} )^2=(sqrt{2})^2+2sqrt{2}sqrt{14}+(sqrt{14})^2=2+2 sqrt{28}+14= \ =16+2 sqrt{4*7}=16+2*2 sqrt{7}=16+4 sqrt{7}$

Answer 2

(√2+√14)^2=
(√2+√14)*(√2+√14)=
2+√2*√14+√2*√14+14=
16+2√2√14=16+2√28=
16+4√7