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

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



You asked:

Evaluate the expression: 2731021{\sqrt{27}}^{3} \sqrt{1021}

MathBot Answer:

2731021=813063≈4482.89448905503462999271263793306348{\sqrt{27}}^{3} \sqrt{1021} = 81 \sqrt{3063} \approx 4482.89448905503462999271263793306348

2731021=(27)3⋅1021=(3⋅3)3⋅1021=81⋅3⋅1021=81⋅3063\begin{aligned}{\sqrt{27}}^{3} \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}

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