hasil dari √2(4√2-√6)
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Jawab:
[tex]8-2\sqrt{3}[/tex]
Penjelasan dengan langkah-langkah:
- Ingat:
- Sifat Distributif
[tex]a (b+c) = ab + bc[/tex]
- Sifat Bentuk Akar
[tex]\sqrt{x} \sqrt{y} =\sqrt{xy} \\\sqrt{x^2} =x\\[/tex]
- Langkah pengerjaan
[tex]\sqrt{2} (4\sqrt{2} - \sqrt{6} )\\= \sqrt{2} .4\sqrt{2} -\sqrt{2}.\sqrt{6} \\=4\sqrt{2} \sqrt{2} - \sqrt{2}.\sqrt{2.3}\\=4\sqrt{2.2} - \sqrt{2}.\sqrt{2} \sqrt{3} \\=4\sqrt{2^2} -\sqrt{2.2}.\sqrt{3} \\=4.2 - \sqrt{2^2}.\sqrt{3} \\=8 - 2\sqrt{3}[/tex]
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