Quizz[tex]\sqrt{21 + 2\sqrt{80}} = ...[/tex]Nt: Bersakit-sakit dahulu bersenang-senang gak tau kapan.... Question from @AarendellTheda

AarendellTheda @AarendellTheda

August 2022 2 23 Report

Quizz

[tex]\sqrt{21 + 2\sqrt{80}} = ...[/tex]

Nt: Bersakit-sakit dahulu bersenang-senang gak tau kapan.

ridhovictor4

Jawab:

Penjelasan dengan langkah-langkah:

Cara 1 :

$\sqrt{21+2\sqrt{80}}=\sqrt{21+2\sqrt{4^2\cdot 5}}=\sqrt{21+2\cdot4\sqrt{5}}\\\sqrt{21+2\sqrt{80}}=\sqrt{16+5+2\cdot4\sqrt{5}}\\\sqrt{21+2\sqrt{80}}=\sqrt{4^2+(\sqrt{5})^2+2\cdot4\sqrt{5}}\\\\\sqrt{21+2\sqrt{80}}= 4+\sqrt{5}$

Cara 2 :

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4 votes Thanks 2

misrokhah439

Gunakan:

$\sf {a}^{2} + 2ab + {b}^{2} = (a + b) {}^{2}$

______________________________________

$\tt\sqrt{21 + 2\sqrt{80}}$

$= \tt \sqrt{( \sqrt{16} + \sqrt{5}) {}^{2} }$

$= \tt \sqrt[2]{( \sqrt{16} + \sqrt{5}) {}^{2} }$

$= \tt \sqrt{16} + \sqrt{15}$

$= \tt4 + \sqrt{5}$

2 votes Thanks 2

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