Question

$\sqrt{7- 2\sqrt{6} }$ =?
o rezolvare completa,va rog!Seara frumoasa:)

Answer 1

$\sqrt{7-2\sqrt{6}}= \sqrt{7-\sqrt{24}} \\ \\ A=7 \\ B=24 \\ \\ C^2=49-24=25 => \boxed{C=5} \\ \\ \sqrt{7-2\sqrt{6}}= \sqrt{\frac{7+5}{2}-\sqrt{\frac{7-5}{2}}}= \sqrt{\frac{12}{2}-\sqrt{\frac{2}{2}}}= \sqrt{6}-1$