11.862 raised to 2 third

asked by guest
on Nov 21, 2024 at 11:58 am



You asked:

Evaluate the expression: \({11.862}^{\frac{2}{3}}\)

MathBot Answer:

\[{11.862}^{\frac{2}{3}} = \frac{3 \cdot \sqrt[3]{1302843} \cdot 2^{\frac{2}{3}}}{100} \approx 5.20122067003981458727799315420762\]

\[\begin{aligned}{11.862}^{\frac{2}{3}}& = \left(11 + \frac{862}{1000}\right)^{\frac{2}{3}}\\& = \left(11 + \frac{431}{500}\right)^{\frac{2}{3}}\\& = \left(\frac{5931}{500}\right)^{\frac{2}{3}}\\& = \frac{3}{100} \cdot 2^{\frac{2}{3}} \cdot \sqrt[3]{1302843}\end{aligned}\]

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