1.

Rationalise the denominator of 2√3+5√7÷√5+√6

Answer»
\frac{(2 \sqrt{3} + 5 \sqrt{7}) }{ \sqrt{5} - \sqrt{6} } \times \frac{ \sqrt{5} + \sqrt{6} }{ \sqrt{5} + \sqrt{6} } \\ \\ \frac{2 \sqrt{15} + 2 \sqrt{18} + 5 \sqrt{35} + 5 \sqrt{42} }{5 - 6} \\ \\ - 2( \sqrt{15} + \sqrt{18} ) - 5( \sqrt{35} + \sqrt{42} )


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