||
Membaca
SMK Teknologi dan Rekayasa

Soal 9 Pecahan Bentuk Akar


Bentuk\ sederhana\ dari\ \frac{5}{\sqrt{2}-\sqrt{7}}\ adalah\ ....\\\\a.\ \ 5(\sqrt{2}-\sqrt{7})\ \ \ \ \ \ b.\ \ -2+\sqrt{7}\ \ \ \ \ \ c.\ \ \sqrt{2}-\sqrt{7}\\\\d.\ \ -\sqrt{2}-\sqrt{7}\ \ \ \ \ \ e.\ \ \sqrt{5}+\sqrt{7}
Jawaban: d
\begin{array}{rcl}\frac{5}{\sqrt{2}-\sqrt{7}}&=&\frac{5}{\sqrt{2}-\sqrt{7}}\ \times \frac{\sqrt{2}+\sqrt{7}}{\sqrt{2}+\sqrt{7}}\\\\&=&\frac{5(\sqrt{2}+\sqrt{7})}{(\sqrt{2})^{2}-(\sqrt{7})^{2}}\\\\&=&\frac{5(\sqrt{2}+\sqrt{7})}{2-7}\\\\&=&\frac{5(\sqrt{2}+\sqrt{7})}{-5}\\\\&=&-1(\sqrt{2}+\sqrt{7})\\\\&=&-\sqrt{2}-\sqrt{7}\end{array}

About Kalakay

Guru Matematika SMK

Diskusi

Belum ada komentar.

Tinggalkan Balasan

Isikan data di bawah atau klik salah satu ikon untuk log in:

Logo WordPress.com

You are commenting using your WordPress.com account. Logout / Ubah )

Gambar Twitter

You are commenting using your Twitter account. Logout / Ubah )

Foto Facebook

You are commenting using your Facebook account. Logout / Ubah )

Foto Google+

You are commenting using your Google+ account. Logout / Ubah )

Connecting to %s

%d blogger menyukai ini: