Question

Giúp mình câu c

Answer 1

`C=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{4+4\sqrt{3}+3}}}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{(2+\sqrt{3})^2}}}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10(2+\sqrt{3})}}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-20-10\sqrt{3}}}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{25-10\sqrt{3}+3}}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+5(5-\sqrt{3})}}`

`=\sqrt{4+\sqrt{5\sqrt{3}+25-5\sqrt{3}}}`

`=\sqrt{4+5}`

`=\sqrt{9}`

`=3`