Question

3/√3+√2+5/√3-√2
Упростите выражение

Answer 1

$= \frac{3*( \sqrt{3}- \sqrt{2} )+5*( \sqrt{3}+\sqrt{2} ) }{( \sqrt{3}+\sqrt{2} )( \sqrt{3}- \sqrt{2} )} = \frac{3 \sqrt{3}-3 \sqrt{2}+5 \sqrt{3}+5 \sqrt{2} }{ (\sqrt{3})^{2} - (\sqrt{2})^{2}}= \frac{8 \sqrt{3}+2 \sqrt{2} }{3-2} = 8 \sqrt{3}+2 \sqrt{2}$