Question

Answer 1

1: \(=2\sqrt{2}-3\cdot4\sqrt{2}+6\sqrt{2}=8\sqrt{2}-12\sqrt{2}=-4\sqrt{2}\)

2: \(=6\cdot6\sqrt{2}-2\cdot4\sqrt{3}+5\cdot5\sqrt{3}-7\cdot6\sqrt{3}\)

\(=36\sqrt{2}-24\sqrt{3}\)

3: \(=-2\sqrt{5}+3\cdot3\sqrt{5}-6\cdot4\sqrt{5}-\dfrac{1}{5}\cdot5\sqrt{5}\)

\(=-18\sqrt{5}\)

4: \(=2\sqrt{5}-5\sqrt{5}-4\sqrt{5}=-7\sqrt{5}\)

5: \(=3\sqrt{2}-2\sqrt{2}+5\sqrt{2}-16\sqrt{2}=-10\sqrt{2}\)

6: \(=3\sqrt{3}-2\sqrt{3}+8\sqrt{3}-15\sqrt{3}=-6\sqrt{3}\)

7: \(=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}=-6\sqrt{3}\)

8: \(=3\sqrt{2}-12\sqrt{2}+4\sqrt{2}-5\sqrt{2}=-10\sqrt{2}\)