Question

simplify the following​

Answer 1

Answer:

$\frac{ \sqrt{13} - \sqrt{11} }{ \sqrt{13} + \sqrt{11} } + \frac{ \sqrt{13} + \sqrt{11} }{ \sqrt{13} - \sqrt{11} } \\ = \frac{( \sqrt{13} - \sqrt{11} ) {}^{2} + (\sqrt{13} + \sqrt{11} ) {}^{2} }{( \sqrt{13} + \sqrt{11} )( \sqrt{13} - \sqrt{11} )} \\ = \frac{(13 + 11 - 2 \sqrt{143}) + (13 + 11 + 2 \sqrt{143} )}{(13 - 11)} \\ = \frac{24 + 24 - 2 \sqrt{143} + 2 \sqrt{143} }{2} \\ = \frac{48}{2} = 24 \: \: ans$

Hey! Mate Here is your solution. Thanks

Answer 2

Answer: 24

Explanation:

$[\sqrt{13}+\sqrt{11} / \sqrt{13}-\sqrt{11} ] + [\sqrt{13}-\sqrt{11} / \sqrt{13}+\sqrt{11} ]\\By \ rationalising \ the \ denominator \ method,\\\13+11-2\sqrt{143}+13+11+2\sqrt{143}\ /\ 2 [ (a+b)^2]\\\\\48 \ /\ 2 \\Ans - 24$

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