Question

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

• A. $\frac{8}{3}$
• B. $\frac{18}{3}$
• C. $\frac{8}{2}$
• D. $\frac{5}{3}$

Answer 1

Answer: (A)

$\frac{8}{3}$

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

$=\frac{9-1}{3}$

$=\frac{8}{3}$