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SMK Teknologi dan Rekayasa

Solusi Paket 59 UN 2011 Matematika SMK Teknologi (7)


Bentuk\ sederhana\ dari\ (5\sqrt{2}+3)(2\sqrt{2}-1)\ adalah\ ....\\A.\ \ 16\\B.\ \ 17\\C.\ \ 17-\sqrt{2}\\D.\ \ 17+\sqrt{2}\\E.\ \ 32-8\sqrt{2}
Jawaban: D
\begin{array}{rcl}(5\sqrt{2}+3)(2\sqrt{2}-1)&=&(5\sqrt{2}\times 2\sqrt{2})-(5\sqrt{2}\times 1)+(3\times 2\sqrt{2})-(3\times 1)\\&=&20-5\sqrt{2}+6\sqrt{2}-3\\&=&17+\sqrt{2}\end{array}

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