Сократите дробь:[tex] \frac{13-( \sqrt{5}-2)^{2} }{ \sqrt{5}+ \sqrt{13}-2 } [/tex]. Created by cjonson. algebra-ru

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cjonson @cjonson

July 2022 2 10 Report

Сократите дробь:
[tex] \frac{13-( \sqrt{5}-2)^{2} }{ \sqrt{5}+ \sqrt{13}-2 } [/tex]

mmb1

Verified answer

(13-(√5-2)²)/(√5+√13-2)=(√13-√5+2)(√13+√5-2)/(√5+√13-2)=√13-√5+2

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PrivetMir $\frac{13-( \sqrt{5} -2)^2}{ \sqrt{5} + \sqrt{13} -2} = \frac{ \sqrt{13}^2 -( \sqrt{5} -2)^2}{ \sqrt{5} + \sqrt{13} -2}= \frac{( \sqrt{13} - \sqrt{5} +2)*(\sqrt{13} + \sqrt{5} -2)}{ \sqrt{5} + \sqrt{13} -2}= \sqrt{13} - \sqrt{5} +2$

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