Question

I need help denesting a radical

Answer 1

\[x=\sqrt{\frac{ 3 }{ 2 }-\frac{ \sqrt{5} }{ 2 }}\]

Answer 2

I did some with a plus sign but I don't know how to do it with a negative sign D;

Answer 3

Where on the equation the signs changes is my problem.

Answer 4

I'll give a hint :
\(\large 3 - \sqrt{5} = \dfrac{1}{2} \left[6 - 2\sqrt{5}\right] \\\large = \dfrac{1}{2} \left[1^2 + \sqrt{5}^2 - 2\sqrt{5}\right] \\ \large = \dfrac{1}{2} \left( 1-\sqrt{5}\right)^2 \)

Answer 5

\[\sqrt{A \frac{ + }{ - }B}=\sqrt{1/2A + 1/2 \sqrt{A^2 - B^2}} \frac{ +}{ - }\sqrt{1/2A -1/2\sqrt{A^2-B^2}}\]

Answer 6

for \(\large \pm\) , you ma use below latex code :

```
\pm
```

Answer 7

$$\Huge a^2-2ab+b^2= (a-b)^2$$

Answer 8

I have to solve it by using the formula I posted

Answer 9

@ganeshie8 Please :o

Answer 10

I am trying to get x=1/2(-1-sqrt(5)) and x=1/2(1-sqrt(5))

Answer 11

my question was suppose to be x= +-