$\sqrt{27}$ $^{3}$ $\sqrt{1021}$

asked by guest
on Nov 13, 2024 at 11:30 pm



You asked:

Evaluate the expression: \({\sqrt{27}}^{3} \cdot \sqrt{1021}\)

MathBot Answer:

\[{\sqrt{27}}^{3} \cdot \sqrt{1021} = 81 \sqrt{3063} \approx 4482.89448905503462999271263793306348\]


\[\begin{aligned}{\sqrt{27}}^{3} \cdot \sqrt{1021}& = \left(\sqrt{27}\right)^{3} \cdot \sqrt{1021}\\& = \left(3 \cdot \sqrt{3}\right)^{3} \cdot \sqrt{1021}\\& = 81 \cdot \sqrt{3} \cdot \sqrt{1021}\\& = 81 \cdot \sqrt{3063}\end{aligned}\]