Đáp án+Giải thích các bước giải:
d,
`\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}`
`=\sqrt{17-12\sqrt{2}}+\sqrt{17+12\sqrt{2}}`
`=\sqrt{9-2.3.2\sqrt{2}+8}+\sqrt{9+2.3.2\sqrt{2}+8}`
`=\sqrt{(3-2\sqrt{2})^2}+\sqrt{(3+2\sqrt{2})^2}`
`=3-2\sqrt{2}+3+2\sqrt{2}`
`=6`
e,
`(2+\sqrt{5}+\sqrt{3})(2+\sqrt{5}-\sqrt{3})`
`=(2+\sqrt{5})^2-3`
`=4+4\sqrt{5}+5-3`
`=6+4\sqrt{5}`
f,
`(\sqrt{\frac{1}{3}}-\sqrt{\frac{4}{3}}+\sqrt{3}):\sqrt{3}`
`=(\frac{\sqrt{3}}{3}-\frac{2\sqrt{3}}{3}+\frac{3\sqrt{3}}{3}):\sqrt{3}`
`=\frac{2\sqrt{3}}{3}:\sqrt{3}`
`=\frac{2\sqrt{3}}{3}.\frac{1}{\sqrt{3}}`
`=\frac{2}{3}`
