Question

√(3-√17)^2 - √(√17-5)^2 спростити вираз

Answer 1

$\sqrt{(3-\sqrt{17})^2}-\sqrt{(\sqrt{17}-5)^2}=|3-\sqrt{17}|-|\sqrt{17}-5|=\sqrt{17}-3-(5-\sqrt{17})=\sqrt{17}-3-5+\sqrt{17}=2\sqrt{17}-8.$