Question

Answer 1

C= \(\sqrt{17-6\sqrt{8}}+\sqrt{50}-3\\ =\sqrt{9-6\sqrt{8}+8}+\sqrt{50}-3\\ =\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{50}-3\\ =3-2\sqrt{2}+\sqrt{50}-3\\ =\sqrt{50}-2\sqrt{2}\\ =\sqrt{2}\left(\sqrt{25}-2\right)\\ =\sqrt{2}.3=3\sqrt{2}\)

Answer 2

\(C=\sqrt{17-6\sqrt{8}}+\sqrt{50}-3\)

\(=3-2\sqrt{2}+5\sqrt{2}-3\)

\(=3\sqrt{2}\)