6√28/3√4

asked by guest
on Nov 24, 2024 at 3:49 am



You asked:

Evaluate the expression: \(\frac{6 \cdot \sqrt{28}}{3 \cdot \sqrt{4}}\)

MathBot Answer:

\[\frac{6 \cdot \sqrt{28}}{3 \cdot \sqrt{4}} = 2 \sqrt{7} \approx 5.29150262212918118100323150727852\]

\[\begin{aligned}\frac{6 \cdot \sqrt{28}}{3 \cdot \sqrt{4}}& = 6 \cdot \sqrt{28} \cdot \frac{1}{3 \cdot \sqrt{4}}\\& = 6 \cdot 2 \cdot \sqrt{7} \cdot \frac{1}{3 \cdot \sqrt{4}}\\& = 6 \cdot 2 \cdot \sqrt{7} \cdot \frac{1}{3 \cdot 2}\\& = 6 \cdot 2 \cdot \sqrt{7} \cdot \frac{1}{6}\\& = 6 \cdot \frac{1}{3} \cdot \sqrt{7}\\& = 2 \cdot \sqrt{7}\end{aligned}\]

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