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Home » \( \sqrt844 = \sqrt4 \times 211 = 2\sqrt211 \). - AMAZONAWS

\( \sqrt844 = \sqrt4 \times 211 = 2\sqrt211 \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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Denominator: \( (4 - i)(4 + i) = 16 + 1 = 17 \)
Result: \( \frac{10 + 11i}{17} = \frac{10}{17} + \frac{11}{17}i \)
#### \( \frac{10}{17} + \frac{11}{17}i \)
A rectangular prism has a volume of 108 cubic meters. Its length is tw...
Let height \( h \), then length \( l = 2h \), width \( w = h + 3 \).
Volume: \( lwh = 2h \cdot (h+3) \cdot h = 2h^2(h+3) = 2h^3 + 6h^2 = 10...
Divide by 2: \( h^3 + 3h^2 - 54 = 0 \)
Try rational roots: \( h = 3 \): \( 27 + 27 - 54 = 0 \) → works.
So \( h = 3 \), \( l = 6 \), \( w = 6 \)
#### Height: 3 m, Length: 6 m, Width: 6 m

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