Math, asked by knight00, 1 year ago

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

Answers

Answered by masterstudy143
1

a = 9/2 and b =1/2

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Answered by Anonymous
0

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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