Question

Найдите значение выражения

Answer 1

$frac4{sqrt5+1}-sqrt5+4=frac{4-sqrt5(sqrt5+1)+4(sqrt5+1)}{sqrt5+1}=frac{4-5-sqrt5+4sqrt5+4}{sqrt5+1}=$
$=frac{3sqrt5+3}{sqrt5+1}=frac{3(sqrt5+1)}{sqrt5+1}=3$
Ответ: 3

Answer 2

[4-V5(V5+1)+4(V5+1)]/(V5+1)=
[4-5-V5+4V5+4]/(V5+1)=
[3+3V5]/(V5+1)=
[3(V5+1)]/(V5+1)=3