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How to simplify double radical when theres fractions involved?

  • #1

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

  • #2
eumyang
Homework Helper
1,347
10
I'm guessing that you mean this?
[tex]\sqrt{\frac{2-\sqrt{3}}{4}}[/tex]
There is a formula for simplifying double radicals. See here.
 

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