# How to simplify double radical when theres fractions involved?

## Homework Statement

sqrt((2-sqrt(3))/4)

I tried to split whatever is under the radical sign into two separate parts, 1/2 and (-1/4)sqrt(3)
I realized that 1.5 times 2 is 3 and 2-1.5 = 1/2 so it seemed like it fulfilled the requirements for solving a double radical. so I put down

sqrt(3/2) - sqrt(2)

and end up with (sqrt(3) - 2)/sqrt(2) which isn't correct since the actual answer is

(sqrt(6) - sqrt(2)) / 4

What am I doing wrong?

## Answers and Replies

eumyang
Homework Helper
I'm guessing that you mean this?
$$\sqrt{\frac{2-\sqrt{3}}{4}}$$
There is a formula for simplifying double radicals. See here.