Question

Simply fun the following

Answer 1

Answer:

$\frac{ \sqrt{13} + 3 }{ \sqrt{13} - 3} + \frac{ \sqrt{13} - 3}{ \sqrt{13} + 3 }$

$\frac{ (\sqrt{13} + 3) {}^{2} + ( \sqrt{13} - 3) {}^{2} }{ (\sqrt{13} - 3)( \sqrt{13} + 3 )}$

$\frac{13 + 9 + 6 \sqrt{13 + 13 + 9 - 6 \sqrt{13} } }{( \sqrt{13} ) {}^{2} - (3) {}^{2} }$

$\frac{44}{4} = 11$

$\frac{22 + 22}{13 - 9}$

Answer 2

Answer:

$\frac{ \sqrt{13 } + 3 }{ \sqrt{13} - 3 } + \frac{ \sqrt{13} - 3 }{ \sqrt{13} + 3}$

$taking \: \: LCM$

$\frac{ (\sqrt{13 } + 3)( \sqrt{13} + 3) + ( \sqrt{13} - 3)( \sqrt{13 } - 3)} { (\sqrt{13} - 3) ( \sqrt{13} + 3) }$

$\frac{13 + \sqrt[3]{13} + \sqrt[3]{13} + 9 + 13 - \sqrt[3]{13 } - \sqrt[3]{13} + 9}{( { \sqrt{13}) }^{2} - ( {3}^{2} )}$

$\frac{13 + 13 + 9 + 9}{13 - 9}$

$\frac{44}{4}$

$11$

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