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Cryptokyo TMUA Problem Set · Q2

Algebra

Rationalise the denominator of

11+3+5.\frac1{1+\sqrt3+\sqrt5}.
A7+33−5−21511\frac{7+3\sqrt3-\sqrt5-2\sqrt{15}}{11}
B7−33+5−21511\frac{7-3\sqrt3+\sqrt5-2\sqrt{15}}{11}
C7+33−5+21511\frac{7+3\sqrt3-\sqrt5+2\sqrt{15}}{11}
D1−3−511\frac{1-\sqrt3-\sqrt5}{11}
E7+33−5−2159\frac{7+3\sqrt3-\sqrt5-2\sqrt{15}}9

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