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\left. \begin{array} { c } { b + \frac { 7 + 3 \sqrt { 5 } } { 3 + \sqrt { 5 } } - \frac { 7 - 3 \sqrt { 5 } } { 3 - \sqrt { 5 } } = a + \sqrt { 5 b } } \\ { [ 2 ] } \end{array} \right. |
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Answer» (7+3root(5))/(3+root(5))-(7-3root(5))/(3-root(5))=((21-7root(5)+9root(5)-15)-(21+7root(5)-9root(5)-15))/(9-5)=(6+2root(5)-6+2root(5))/(9-5)=4root(5)/4=root(5) so a=0 b=1 |
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