Matematika Sekolah Menengah Atas Hitunglah hasil kali bilangan² dibawah ini(3 + 2 \sqrt{2} )[/tex]​

reylabadieulv – April 10, 2023

Hitunglah hasil kali bilangan² dibawah ini!
[tex](5 - 3 \sqrt{2} )(3 + 2 \sqrt{2} )[/tex]
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[tex](5 - 3 \sqrt{2})(3 + 2 \sqrt{2})[/tex]

[tex] = (5)(3) + (5)(2 \sqrt{2}) - (3 \sqrt{3})(3) - (3 \sqrt{2})(2 \sqrt{2}) [/tex]

[tex] = 15 + 10 \sqrt{2} - 9 \sqrt{3} - 6 \sqrt{4} [/tex]

[tex] = 15 + 10 \sqrt{2} - 9 \sqrt{3} - 6 \times 2[/tex]

[tex] = 15 + 10 \sqrt{2} - 9 \sqrt{3} - 12 [/tex]

[tex] = 15 - 12 - 9 \sqrt{3} + 10 \sqrt{2} [/tex]

[tex] = 3 - 9 \sqrt{3} + 10 \sqrt{2} [/tex]

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