Question

rationalise 4√3+5√2/4√3+3√2

Answer 1

The answer is in the above photo....

Answer 2

$4\sqrt{3} + 5\sqrt{2} \div 4 \sqrt{3} + 3 \sqrt{2} \\ = 4 \sqrt{3} + 5 \sqrt{2} \times 4 \sqrt{3} - 3 \sqrt{2} \div4 \sqrt{3} +3 \sqrt{2} - 4 \sqrt{3} - 3\sqrt{2} \\ = 4 \times 4 \times 3 - 12 \sqrt{6} + 20 \sqrt{6} + 30 \div 16 \times 3 - 9 \times 2 \\ = 48 + 30 + 8\sqrt{6} \div 48 - 18 \\ = 78 + 8\sqrt{6} \div 30 \\ = (39 + 4\sqrt{6} ) \div 15 \\ \\ is \: the \: answer \:$