Упростите выражение: ((√5-√3)/(√5+√3))-((√5+√3)/(√5-√3)). Created by andreevvv641. algebra-ru

(√5-√3))...

andreevvv641 @andreevvv641

August 2022 1 18 Report

Упростите выражение:
((√5-√3)/(√5+√3))-((√5+√3)/(√5-√3))

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mukus13

Verified answer

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

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11 yavlyayutsya celym polozhitelnym

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elochnaya girlyanda sostoit iz 50 lampochek kazhdaya iz kotoryh imeet soprotivlenie 03743b68451c212995fdebe158d9534fb 94221

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