Matematika Sekolah Menengah Atas (√5+√2) (√5-√2)





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(√5+√2) (√5-√2)





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Penjelasan dengan langkah-langkah:

= (√5+√2) (√5-√2)

= √25 - √10 + √10 - √4

= 5 - 2

= 3

[tex] \mathbb{ \color{aqua}{ \underbrace{JAWABAN}}}[/tex]

3

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[tex] \mathbb{ \color{orange}{ \underbrace{PENYELESAIAN}}}[/tex]

[tex] \begin{aligned}& \begin{aligned}\small{\bf{\blue{Gunakan~sifat - sifat~berikut :}}} \end{aligned} \\ & \boxed{ \: \begin{aligned} \tt{ {a}^{2} - {b}^{2} } &= \tt{(a + b)(a - b)} \\ \tt{ \sqrt{ {a}^{2} } }& = \tt{a} \end{aligned} \: } \end{aligned} \\ \\ [/tex]

[tex] \boxed{ \: \begin{aligned}& \tt{ \left( \sqrt{5} + \sqrt{2} \right) \left( \sqrt{5} - \sqrt{2} \right)} \\ & \tt{= \sqrt{ {5}^{2} } - \sqrt{ {2}^{2} } } \\ & \tt{= 5 - 2}\\ & \tt{= \red{ \boxed{ \pink{ \bf{3}}}}} \end{aligned} \: }[/tex]

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[tex] \mathbb{ \color{red}{ \underbrace{KESIMPULAN}}}[/tex]

Jadi, hasil dari (√5 + √2)(√5 - √2) adalah 3

[tex] \colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{} [/tex]

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