избавиться от иррациональности в знаменателе: 4/√5-√3. Created by polinalet. algebra-ru

√5-√3...

polinalet @polinalet

July 2022 2 30 Report

избавиться от иррациональности в знаменателе:
4/√5-√3

Пеппер

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Ответ:

2(√5+√3)

Объяснение:

4/(√5-√3)=4*(√5+√3)\(√5-√3)*(√5+√3)= 4*(√5+√3)\(5-3)=4*(√5+√3)\2=2(√5+√3)

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Universalka

Verified answer

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

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