43.9 √136.09 =

asked by guest
on Nov 25, 2024 at 7:19 am



You asked:

Evaluate the expression: \(43.9 \cdot \sqrt{136.09}\)

MathBot Answer:

\[43.9 \cdot \sqrt{136.09} = \frac{439 \sqrt{13609}}{100} \approx 512.1269460788018328504337976578685\]

\[\begin{aligned}43.9 \cdot \sqrt{136.09}& = \left(43 + \frac{9}{10}\right) \cdot \sqrt{136 + \frac{9}{100}}\\& = \frac{439}{10} \cdot \sqrt{136 + \frac{9}{100}}\\& = \frac{439}{10} \cdot \sqrt{\frac{13609}{100}}\\& = \frac{439}{10} \cdot \frac{1}{10} \cdot \sqrt{13609}\\& = \frac{439}{100} \cdot \sqrt{13609}\end{aligned}\]

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