anonymous one year ago How to simplify sqrt((1+sqrt3/2) / 2) ?

1. anonymous

$\sqrt{(1+\sqrt{3}/2})/2$ 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

2. anonymous

it is all under the radical?

3. misty1212

$\huge \sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

4. anonymous

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

5. anonymous

you get $\sqrt{\frac{2+\sqrt3}{4}}$

6. anonymous

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

7. anonymous

okay then thank you