Question

cuanto es ((8×4+2)÷5)+8×4+³√8×5​

Answer 1

RESOLVER:

[tex]\left(\left(8\times4+2\right)\div 5\right)+8\times4+\sqrt[3]{8\cdot 5}[/tex]

[tex]\left(\frac{8\times \:4+2}{5}\right)+8\times \:4+\sqrt[3]{8\times \:5}[/tex]

Quitamos los paréntesis

[tex]=\frac{8\times \:4+2}{5}+8\times \:4+\sqrt[3]{8\times \:5}[/tex]

Simplificamos

[tex]\frac{8\times \:4+2}{5}=\frac{34}{5}[/tex]

[tex]8\times \:4=32[/tex]

[tex]\sqrt[3]{8\times \:5}=2\sqrt[3]{5}[/tex]

[tex]=\frac{34}{5}+32+2\sqrt[3]{5}[/tex]

Convertimos a fracción [tex]\:32=\frac{32\times \:5}{5}[/tex]

[tex]=\frac{32\times \:5}{5}+\frac{34}{5}[/tex]

Fracciones homogéneas, las combinamos de una vez

[tex]=\frac{32\times \:5+34}{5}\\\\32\times \:5+34\\\\\boxed{=2\sqrt[3]{5}+\frac{194}{5}}[/tex]

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