Question

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

• A. 5/2(1+√3)
• B. 5/2(√3-1)
• C. -5/2(1+√3)
• D. 5/2(1-√3)

Answer 1

Answer:

C. -5/2(1+√3)

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

$=\frac{5(1+\sqrt3)}{1^2-(\sqrt3^2)}=\frac{5(1+\sqrt 3)}{-2}$