How to simplify this?

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

Question

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

anonymous · Answer

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

gentorr · Answer

3 11 11 3

anonymous · Answer

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

thesmartone · Answer

First simplify the denominator.

anonymous · Answer

How?

thesmartone · Answer

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

anonymous · Answer

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}$

thesmartone · Answer

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

anonymous · Answer

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

anonymous · Answer

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

thesmartone · Answer

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

thesmartone · Answer

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

anonymous · Answer

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

thesmartone · Answer

yes

anonymous · Answer

I got 2 for the numerator is this correct?

thesmartone · Answer

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