Question

M=\(\frac{1}{4}\sqrt{32}-2\sqrt{50}+\frac{\sqrt{22}}{\sqrt{11}}\)

Answer 1

\(M=\frac{1}{4}\sqrt{16\times2}-2\sqrt{25\times2}+\sqrt{\frac{22}{11}}\)

\(M=\frac{1}{4}\times4\times\sqrt{2}-2\times5\times\sqrt{2}+\sqrt{2}\)

\(M=\sqrt{2}-10\sqrt{2}+\sqrt{2}\)

\(M=-8\sqrt{2}\)

Answer 2

\(M=\frac{1}{4}\sqrt{16\times2}-2\sqrt{25\times2}+\sqrt{\frac{22}{11}}\)

\(M=\frac{1}{4}\times4\times\sqrt{2}-2\times5\times\sqrt{2}+\sqrt{2}\)

\(M=\sqrt{2}-10\sqrt{2}+\sqrt{2}\)

\(M=-8\sqrt{2}\)