WAEC - Mathematics (2003 - No. 8)
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
2
3
6
12
설명
\(\frac{4\sqrt{18}}{\sqrt{8}}\\
= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\\
Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\\
=\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\)
= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\\
Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\\
=\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\)