Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 – \frac{1}{\sqrt3}\))
- \(\frac{7}{3}\)
-
\(\frac{5}{3}\)
- \(\frac{5}{2}\)
- \(\frac{3}{2}\)
The correct answer is: B
Explanation
(\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))\(\sqrt4 - \frac {\sqrt2}{\sqrt3} + \frac {\sqrt2}{\sqrt3} - \frac {1}{\sqrt9}\)
= 2 - \(\frac {1}{3}\)
= \(\frac {16 - 1}{3}\)
= \(\frac{5}{3}\)
There is an explanation video available .