Question

simplify: 2√3 - √5 ÷2√2 + 3√3​

Answer 1

Answer:

$\frac{2 \sqrt{3} - \sqrt{5} }{2 \sqrt{2} + 3 \sqrt{3} } \times \frac{2 \sqrt{2} - 3 \sqrt{3} }{2 \sqrt{2} - 3 \sqrt{3} } \\ = \frac{2 \sqrt{3} (2 \sqrt{2} - 3 \sqrt{3} ) - \sqrt{5}(2 \sqrt{2} - 3 \sqrt{3} )}{(2 \sqrt{2} {}^{2} ) - (3 \sqrt{3}) {}^{2} } \\ = \frac{4 \sqrt{6} - 6 \sqrt{6} - 2 \sqrt{5} - 3 \sqrt{15} }{8 - 27}$