## anonymous one year ago How to simplify this? $$\frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1}$$

1. anonymous

It is suppose to be How to simplify this? $$\frac{-\sqrt{3} - 1}{1+(-\sqrt{3})*1}$$

2. GenTorr

3 11 11 3

3. anonymous

HUH? the answer is $$2+ \sqrt{3}$$ but how did they get it?

4. TheSmartOne

First simplify the denominator.

5. anonymous

How?

6. TheSmartOne

$$\sf\Large 1+ (-\sqrt{3})\times 1$$ Anything times 1 is 1 and when you add a negative number you are basically subtracting it. Make sure to follow PEMDAS

7. anonymous

So I need to How to simplify this? $$\frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1} \frac{1+(-\sqrt{3}*1}{1+(-\sqrt{3}*1}$$

8. TheSmartOne

We are getting to that, first we need to simplify the denominator :)

9. anonymous

So $\frac{-\sqrt{3} - 1}{1+(-\sqrt{3}*1} \frac{1+(-\sqrt{3})}{1+(-\sqrt{3})}$

10. anonymous

$\frac{-\sqrt{3} - 1}{1+(-\sqrt{3}} * \frac{1+(-\sqrt{3})}{1+(-\sqrt{3})}$

11. TheSmartOne

yes, however: $$\sf 1+(-\sqrt{3})=1-\sqrt{3}$$

12. TheSmartOne

and then we have to multiply the numerator and denominator by the conjugate of $$\sf1-\sqrt{3}$$

13. anonymous

Do we use foil to times $(-\sqrt{3}-1)(1-\sqrt{3})$

14. TheSmartOne

yes

15. anonymous

I got 2 for the numerator is this correct?

16. TheSmartOne

I fail to see how you got that... |dw:1433890581827:dw|