Simplify (√2+1√3)(√2−1√3 2 + 1 3 ) ( 2 − 1 ..

Question 1 Report

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

\frac{7}{3}

\frac{5}{3}

\frac{5}{2}

\frac{3}{2}

Answer Details

( $\sqrt{2} + \frac{1}{\sqrt{3}}) (\sqrt{2} - \frac{1}{\sqrt{3}}$ )
$\sqrt{4} - \frac{\sqrt{2}}{\sqrt{3}} + \frac{\sqrt{2}}{\sqrt{3}} - \frac{1}{\sqrt{9}}$
= 2 - $\frac{1}{3}$
= $\frac{16 - 1}{3}$
= $\frac{5}{3}$

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Surds (radicals)

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Simplify (√2+1√3)(√2−1√3 2 + 1 3 ) ( 2 − 1 3 )