12 $\sqrt{2}$ / 3 $\sqrt{8}$

asked by guest
on Jan 12, 2025 at 5:50 am



You asked:

Evaluate the expression: \(\frac{12 \sqrt{2}}{3 \sqrt{8}}\)

MathBot Answer:

\[\frac{12 \sqrt{2}}{3 \sqrt{8}} = 2\]

\[\begin{aligned}\frac{12 \sqrt{2}}{3 \sqrt{8}}& = 12 \cdot \sqrt{2} \cdot \frac{1}{3 \cdot \sqrt{8}}\\& = 12 \cdot \sqrt{2} \cdot \frac{1}{3 \cdot 2 \cdot \sqrt{2}}\\& = 12 \cdot \sqrt{2} \cdot \frac{1}{6 \cdot \sqrt{2}}\\& = \frac{12}{6}\\& = 2\end{aligned}\]

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