Question

rationalise:5+2√3 ÷ 7+4√3​

Answer 1

Answer:

11-20✓2+14✓3/37, hope this helps you

Answer 2

Step-by-step explanation:

$\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = \frac{(5 + 2 \sqrt{3)} (7 - 4 \sqrt{3} )}{(7 + 4 \sqrt{3)}(7 - 4 \sqrt{3)} } \\ = \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 24 }{(7) {}^{2} - (4 \sqrt{3} ) {}^{2} } \\ = \frac{11 - 6 \sqrt{3} }{49 - 48} = 11 - 6 \sqrt{3}$