Toán Tính `(`$\sqrt{5-2\sqrt{6}}$`+\sqrt{2})“\sqrt{3}` giải chi tiết giúp em nha :<< 23/07/2021 By Samantha Tính `(`$\sqrt{5-2\sqrt{6}}$`+\sqrt{2})“\sqrt{3}` giải chi tiết giúp em nha :<<
`(\sqrt{5-2\sqrt{6}}+\sqrt{2}).\sqrt{3}=\sqrt{3}.\sqrt{5-2\sqrt{6}}+\sqrt{3}.\sqrt{2}` `=\sqrt{15-6\sqrt{6}}+\sqrt{6}=\sqrt{15-2\sqrt{54}}+\sqrt{6}` `=\sqrt{9-2\sqrt{54}+6}+\sqrt{6}=\sqrt{(3-\sqrt6)^2}+\sqrt6` `=|3-\sqrt6|+\sqrt6=3-\sqrt6+\sqrt6=3` Trả lời
`(\sqrt[5-2\sqrt[2]]+\sqrt[2]).\sqrt[3]` `=` `(\sqrt[(\sqrt[3]-\sqrt[2])^2]+\sqrt[2]).\sqrt[3]` `=` `(\sqrt[3]-\sqrt[2]+\sqrt[2] ).\sqrt[3]` `=` `\sqrt[3].\sqrt[3]` `=` `\sqrt[3^2]` `=` `3` Trả lời
`(\sqrt{5-2\sqrt{6}}+\sqrt{2}).\sqrt{3}=\sqrt{3}.\sqrt{5-2\sqrt{6}}+\sqrt{3}.\sqrt{2}`
`=\sqrt{15-6\sqrt{6}}+\sqrt{6}=\sqrt{15-2\sqrt{54}}+\sqrt{6}`
`=\sqrt{9-2\sqrt{54}+6}+\sqrt{6}=\sqrt{(3-\sqrt6)^2}+\sqrt6`
`=|3-\sqrt6|+\sqrt6=3-\sqrt6+\sqrt6=3`
`(\sqrt[5-2\sqrt[2]]+\sqrt[2]).\sqrt[3]`
`=` `(\sqrt[(\sqrt[3]-\sqrt[2])^2]+\sqrt[2]).\sqrt[3]`
`=` `(\sqrt[3]-\sqrt[2]+\sqrt[2] ).\sqrt[3]`
`=` `\sqrt[3].\sqrt[3]`
`=` `\sqrt[3^2]`
`=` `3`