If \;{{2}\;+\;{3}}{{3}} is simplified as m + n{6}, find the value of (m + n)

Correct Answer is : 1 13\;1/331

Correct Answer is : 1 13\;1/331

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WAEC Mathematics 2015 Paper

Question : 29

Total: 45

\;\frac{\sqrt{2}\;+\;\sqrt{3}}{\sqrt{3}}

\sqrt{6}

, find the value of (m + n)

Solution:

$\;\frac{\sqrt{2}\;+\;\sqrt{3}}{\sqrt{3}}$ = $\;\frac{\sqrt{2}\;+\;\sqrt{3}}{\sqrt{3}}$ x $\;\frac{\sqrt{3}}{\sqrt{3}}$

\;\frac{\sqrt{2}\;\times\;\sqrt{3}\;+\;\sqrt{3}\;\times\;\sqrt{3}}{\sqrt{3}\;\times\;\sqrt{3}}

\;\frac{\sqrt{6}\;+\;3}{3}

\;\frac{3\;+\;\sqrt{6}}{3}

= Hence, (m + n) = 1 +

\;\frac{1}{3}

= 1

\;\frac{1}{3}

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