Question

1) \(2\sqrt{5}-\sqrt{45}+2\sqrt{20}\)

2) \(\sqrt{45}-10\sqrt{\dfrac{1}{5}}+\sqrt{\left(1-\sqrt{5}\right)^2}\)

3) \(3\sqrt{2}-4\sqrt{92}\)

4) \(\sqrt{12}+\dfrac{4}{\sqrt{3}}+\sqrt{5}\)

5) \(2\sqrt{48}-\sqrt{75}-\sqrt{\left(1-\sqrt{3}\right)^2}\)

Answer 1

1 , \(2\sqrt{5}-\sqrt{45}+2\sqrt{20}=2\sqrt{5}-3\sqrt{5}+4\sqrt{5}=3\sqrt{5}\)

Answer 2

1: \(=2\sqrt{5}-3\sqrt{5}+4\sqrt{5}=3\sqrt{5}\)

2: \(=3\sqrt{5}-2\sqrt{5}+\sqrt{5}-1=2\sqrt{5}-1\)

3: \(=3\sqrt{2}-8\sqrt{23}\)

4: \(=2\sqrt{3}+\dfrac{4}{3}\sqrt{3}+\sqrt{5}=\dfrac{10}{3}\sqrt{3}+\sqrt{5}\)