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

1. mathmate

I thought @TheSmartOne solved it earlier !?

2. mathmate

Hint: use identities $$a^2-b^2 = (a+b)(a-b), and$$ $$(a+b)^2 = a^2+2ab+b^2$$ then rationalize the denominator.

3. anonymous

$\frac{-\sqrt{3} - 1}{1+(-\sqrt{3})*1}$ $\frac{-\sqrt{3} - 1}{1-\sqrt{3}}$ $\frac{-\sqrt{3} - 1}{1-\sqrt{3}} * \frac{1-\sqrt{3}} {1-\sqrt{3}}$ $\frac{2}{2(2-\sqrt{3})}$ Is this correct??