Question

Please help me figure out this problem?

Answer 1

\[\sqrt{\frac{ 1+\frac{- \sqrt{7} }{ 4 } }{ 2 }}\]

Answer 2

I do not understand how they got to
\[\frac{ \sqrt{8-2\sqrt{7}} }{ 4 }\]

Answer 3

\[\sqrt{\frac{ 4-\sqrt{7} }{ 8 }}\]

Answer 4

what next?

Answer 5

Multiply the inside top and bottom by 2.:
\[\sqrt{\frac{2(4-\sqrt7)}{16}}=\frac{\sqrt{8-2\sqrt7}}{4}\]

Answer 6

haha.. man sometimes i feel dumb... thanks for ur help.