Question

$\frac{5}{1- \sqrt3}=?$

• A. $\frac{5\times(1-\sqrt{3})}{2}$
• B. $\frac{-5\times(1-\sqrt{3})}{2}$
• C. $\frac{-5\times(1+\sqrt{3})}{2}$
• D. $\frac{5\times(1 + \sqrt{3})}{2}$

Answer 1

Answer:

$\frac{-5\times(1+\sqrt{3})}{2}$

$\frac{5}{1- \sqrt3}=\frac{5 \times (1+\sqrt 3)}{(1- \sqrt3) + (1+ \sqrt3)}$

$=\frac{5(1+\sqrt3)}{1^2-(\sqrt3^2)}$

$=\frac{5(1+\sqrt 3)}{-2}$