Question

Ajutor dau coroana
.
3.Calculați :
√20+2√19 + √20-2√19
Va rog mult sa va uitați in poza

Answer 1

[tex]\sqrt{20\pm 2\sqrt{19}}=\sqrt{19+1\pm 2\sqrt{19}}=\sqrt{(\sqrt{19}\pm 1)^2}=|\sqrt{19}\pm 1|=\\ =\sqrt{19}\pm 1\\ Asadar: \sqrt{20+2\sqrt{19}}+\sqrt{20-2\sqrt{19}}=\sqrt{19}+1+\sqrt{19}-1=\boxed{2\sqrt{19}}[/tex]