Mathematics 2011 Discuss

Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

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Question 8
A
\(\frac{7}{3}\) 
B
\(\frac{5}{3}\) 
C
\(\frac{5}{2}\) 
D
\(\frac{3}{2}\) 
Explanation.
Share Answer (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

\(\sqrt4 - \frac {\sqrt2}{\sqrt3} + \frac {\sqrt2}{\sqrt3} - \frac {1}{\sqrt9}\)

= 2 - \(\frac {1}{3}\)

= \(\frac {16 - 1}{3}\)

= \(\frac{5}{3}\)

Correct Option:
B

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