$\frac{3 $\sqrt{48}$}{3 $\sqrt{16}$}$

asked by guest
on Oct 25, 2024 at 9:29 pm



You asked:

Evaluate the expression: \(\frac{3 \cdot \sqrt{48}}{3 \cdot \sqrt{16}}\)

MathBot Answer:

\[\frac{3 \cdot \sqrt{48}}{3 \cdot \sqrt{16}} = \sqrt{3} \approx 1.73205080756887729352744634150587\]

\[\begin{aligned}\frac{3 \cdot \sqrt{48}}{3 \cdot \sqrt{16}}& = 3 \cdot \sqrt{48} \cdot \frac{1}{3 \cdot \sqrt{16}}\\& = 3 \cdot 4 \cdot \sqrt{3} \cdot \frac{1}{3 \cdot \sqrt{16}}\\& = 3 \cdot 4 \cdot \sqrt{3} \cdot \frac{1}{3 \cdot 4}\\& = 3 \cdot 4 \cdot \sqrt{3} \cdot \frac{1}{12}\\& = 3 \cdot \frac{1}{3} \cdot \sqrt{3}\\& = \sqrt{3}\end{aligned}\]

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