## anonymous 5 years ago if x=sqrt(-3)/2 , find the value of sqrt(1+x)+sqrt(1-x)/sqrt(1+x)-sqrt(1-x)

1. dumbcow

cant take the sqrt of neg num is it supposed to deal with complex num

2. anonymous

oh sorry, its written as x=sqrt(3)/2

3. dumbcow

i made a mistake it simplifies to $\frac{1+\sqrt{1-x^{2}}}{x}$ $x=\frac{\sqrt{3}}{2}$ $=\sqrt{3}$

4. anonymous

could you please provide some info on how we get 1+sqrt(1-x^2)/x ?

5. dumbcow

multiply by conjugate on top and bottom then combine like terms

6. dumbcow

conjugate is sqrt(1+x) + sqrt(1-x)

7. anonymous

got till 1+x+1-x+2sqrt(1-x^2)/(1-x)+(1-x)