Question

Rationalise the denominator.
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Answer 1

Answer:

$=\frac{5+\sqrt{3} }{3+\sqrt{6} } \\=\frac{5+\sqrt{3} }{3+\sqrt{6} }*\frac{3-\sqrt{6} }{3-\sqrt{6} } \\=\frac{15-5\sqrt{6}+3\sqrt{3}-\sqrt{9} }{(3)^2-(\sqrt{6})^2 } \\=\frac{12-7\sqrt{3} }{9-6} \\=\frac{12-7\sqrt{3} }{3}$