10 $\sqrt{3.84}$

asked by guest
on May 06, 2024 at 2:35 am

You asked:

Evaluate the expression: \(10 \cdot \sqrt{3.84}\)

MathBot Answer:

\[10 \cdot \sqrt{3.84} = 8 \sqrt{6} \approx 19.59591794226542478557827259764713\]


\[\begin{aligned}10 \cdot \sqrt{3.84}& = 10 \cdot \sqrt{3 + \frac{84}{100}}\\& = 10 \cdot \sqrt{3 + \frac{21}{25}}\\& = 10 \cdot \sqrt{\frac{96}{25}}\\& = 10 \cdot \frac{4}{5} \cdot \sqrt{6}\\& = 8 \cdot \sqrt{6}\end{aligned}\]

asked 12 days ago

active 12 days ago