Rút gọn căn thức: 3* $\sqrt[]{\frac{129}{16}+\sqrt[]{2} }$

2 câu trả lời

`#tnvt`

`3.\sqrt{129/16+\sqrt{2}}`

`=3.\sqrt{\frac{129+16\sqrt{2}}{16}}`

`=3.\sqrt{\frac{128+2.8\sqrt{2}.1+1}{4^2}}`

`=3.\sqrt{\frac{(8\sqrt{2}+1)^2}{4^2}}`

`=3.|\frac{8\sqrt{2}+1}{4}|`

`=3. \frac{8\sqrt{2}+1}{4}`

`=\frac{24\sqrt{2}+3}{4}`

 

`y10000`

`•3.\sqrt{\frac{129}{16}+\sqrt{2}}`

`=3.\sqrt{\frac{129+16\sqrt{2}}{16}}`

`=3.\sqrt{\frac{(8\sqrt{2})²+2.8\sqrt{2}.1+1²}{16}}`

`=3.\sqrt{\frac{(8\sqrt{2}+1)²}{16}}`

`=3.|\frac{8\sqrt{2}+1}{4}|`

`=\frac{24\sqrt{2}+3}{4}`

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