1.126^(1/12)-1
You asked:
Evaluate the expression: \({1.126}^{\frac{1}{12}} - 1\)
MathBot Answer:
\[{1.126}^{\frac{1}{12}} - 1 = -1 + \frac{2^{\frac{5}{6}} \cdot 5^{\frac{3}{4}} \cdot \sqrt[12]{563}}{10}\]
\[\begin{aligned}{1.126}^{\frac{1}{12}} - 1& = \sqrt[12]{1 + \frac{126}{1000}} - 1\\& = \sqrt[12]{1 + \frac{63}{500}} - 1\\& = \sqrt[12]{\frac{563}{500}} - 1\\& = \frac{1}{10} \cdot 2^{\frac{5}{6}} \cdot 5^{\frac{3}{4}} \cdot \sqrt[12]{563} - 1\\& = -1 + \frac{1}{10} \cdot 2^{\frac{5}{6}} \cdot 5^{\frac{3}{4}} \cdot \sqrt[12]{563}\end{aligned}\]