Question

if (root 7+root 11)/(root7-root11)=a+b root77

Answer 1

a = 9/2 and b =1/2

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Answer 2

Answer:

$( \sqrt{7} + \sqrt{11} ) \div (\sqrt{7} - \sqrt{11} ) =( a + b) \sqrt{77} \\ \\ \\ = > \frac{ (\sqrt{7 } + \sqrt{11} )}{( \sqrt{7} - \sqrt{11} )} = (a + b) \sqrt{77} \\ \\ \\ = > \frac{ (\sqrt{7} + \sqrt{11} )( \sqrt{7} - \sqrt{11}) }{ { (\sqrt{7} - \sqrt{11} )}^{2} } = (a + b) \sqrt{77} \\ \\ \\ = > \frac{7 - 11}{7 + 11 - 14 \sqrt{7} } =( a + b) \sqrt{77} \\ \\ = > \frac{ - 4}{18 - 14 \sqrt{7} } = (a + b) \sqrt{77} \\ \\ \\ = > \frac{ - 2}{9 - 7 \sqrt{7} } = (a + b) \sqrt{77} \\ \\ \\ = > (a + b) = \frac{ - 2}{ \sqrt{77}(9 - 7 \sqrt{7} ) } \\ \\ \\ please \: \: mark \: me \: brainlist$

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