Question

упростите выражение
$frac{ sqrt{3} }{ sqrt{3 } - sqrt{2} } - frac{ sqrt{2} }{ sqrt{3} + sqrt{2} }$
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Answer 1

Ответ:

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

Объяснение:

Answer 2

$frac{sqrt{3}}{sqrt{3}-sqrt{2}}-frac{sqrt{2}}{sqrt{3}+sqrt{2}} =frac{sqrt{3}*(sqrt{3}+sqrt{2})-sqrt{2}*(sqrt{3}-sqrt{2})}{(sqrt{3}-sqrt{2})(sqrt{3}+sqrt{2})}=frac{3+sqrt{6}-sqrt{6}+2}{(sqrt{3})^{2}-(sqrt{2})^{2}}=frac{5}{3-2}=5$