Question

[nngoc]

THỰC HIỆN PHÉP TÍNH

1,\(\sqrt{3+\sqrt{5}}.\sqrt{2}\)

2,\(\sqrt{3-\sqrt{5}.\sqrt{8}}\)

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

4,\((\sqrt{\dfrac{1}{7}}-\sqrt{\dfrac{16}{7}}+\sqrt{7}):\sqrt{7}\)

5, \(\sqrt{36-12\sqrt{5}}:\sqrt{6}\)

6,\(\sqrt{3-\sqrt{5}:}\sqrt{2}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

1: \(\sqrt{3+\sqrt{5}}\cdot\sqrt{2}=\sqrt{6+2\sqrt{5}}=\sqrt{5}+1\)

3) \(\left(\sqrt{\dfrac{3}{4}}-\sqrt{3}+5\cdot\sqrt{\dfrac{4}{3}}\right)\cdot\sqrt{12}\)

\(=\left(\dfrac{\sqrt{3}}{2}-\dfrac{2\sqrt{3}}{2}+5\cdot\dfrac{2}{\sqrt{3}}\right)\cdot\sqrt{12}\)

\(=\dfrac{17\sqrt{3}}{6}\cdot2\sqrt{3}\)

\(=\dfrac{34\cdot3}{6}=\dfrac{102}{6}=17\)