Question

How to simplify sqrt((1+sqrt3/2) / 2) ?

Answer 1

\[\sqrt{(1+\sqrt{3}/2})/2\]
I know I need to get rid of the denominators and bring something out of the radical but I'm not sure how to do that

Answer 2

it is all under the radical?

Answer 3

\[\huge \sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}\]

Answer 4

multiply top and bottom inside the radical by 2 to clear the compound fraction

Answer 5

you get
\[\sqrt{\frac{2+\sqrt3}{4}}\]

Answer 6

then take the square root of the denominator and end with
\[\frac{\sqrt{2+\sqrt3}}{2}\] that is the most you can do

Answer 7

okay then thank you