Question

Giúp mình với: Chứng minh

\(\sqrt{17-12\sqrt{2}}\)+\(\sqrt{9+4\sqrt{2}}\)=4

Cảm on nhiều.

Answer 1

`VT=\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}`

    `=\sqrt{(3-2\sqrt{2})^2}+\sqrt{(2\sqrt{2}+1)^2}`

    `=|3-2\sqrt{2}|+|2\sqrt{2}+1|`

    `=3-2\sqrt{2}+2\sqrt{2}+1=4=VP`

Answer 2

`-> sqrt((3 - 2 sqrt 2)^2) + sqrt((2 sqrt 2 + 1)^2`

`= 3 - 2 sqrt 2 + 2 sqrt 2 + 1`

`= 4 = VP`