8 √ 1.93 ² answer
You asked:
Evaluate the expression: \(8 \cdot {\sqrt{1.93}}^{2}\)
MathBot Answer:
\[8 \cdot {\sqrt{1.93}}^{2} = \frac{386}{25} = 15.44\]
\[\begin{aligned}8 \cdot {\sqrt{1.93}}^{2}& = 8 \cdot \left(\sqrt{1 + \frac{93}{100}}\right)^{2}\\& = 8 \cdot \left(\sqrt{\frac{193}{100}}\right)^{2}\\& = 8 \cdot \left(\frac{1}{10} \cdot \sqrt{193}\right)^{2}\\& = 8 \cdot \frac{193}{100}\\& = \frac{386}{25}\end{aligned}\]