Question

Rationalise the denominator of 4√3+5√2/√48+√18​

Answer 1

$4\sqrt{3} + 5 \sqrt{2} \div 4 \sqrt{3} + 3 \sqrt{2} \\ = 4 \sqrt{3} + 5 \sqrt{2} \times 4 \sqrt{3} - 3 \sqrt{2} \div 4 \sqrt{3 + 3 \sqrt{2} } \times 4 \sqrt{3} - 3 \sqrt{2} \\ = 48 - 12 \sqrt{6} + 20 \sqrt{6} - 30 \div 48 - 18 \\ = 18 + 8 \sqrt{6} \div 30 \\ = 9 + 4 \sqrt{6} \div 15$

Answer 2

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