Respuesta:
[tex]=20\sqrt[3]{90}[/tex]
Explicación paso a paso:
[tex]\left(2\sqrt[3]{10}\right)\left(5\sqrt[3]{72}\right)\\\\=2\sqrt[3]{10}\cdot \:5\sqrt[3]{72}\\\\=2\sqrt[3]{2\cdot \:5}\cdot \:5\sqrt[3]{72}\\\\=2\sqrt[3]{2}\sqrt[3]{5}\cdot \:5\sqrt[3]{72}\\\\=2\sqrt[3]{2}\sqrt[3]{5}\cdot \:5\sqrt[3]{2^3}\sqrt[3]{9}\\\\=2^2\cdot \:5\sqrt[3]{2\cdot \:5\cdot \:9}\\\\=2^2\cdot \:5\sqrt[3]{90}\\\\=5\cdot \:4\sqrt[3]{90}\\\\=20\sqrt[3]{90}[/tex]
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Verified answer
Respuesta:
[tex]=20\sqrt[3]{90}[/tex]
Explicación paso a paso:
[tex]\left(2\sqrt[3]{10}\right)\left(5\sqrt[3]{72}\right)\\\\=2\sqrt[3]{10}\cdot \:5\sqrt[3]{72}\\\\=2\sqrt[3]{2\cdot \:5}\cdot \:5\sqrt[3]{72}\\\\=2\sqrt[3]{2}\sqrt[3]{5}\cdot \:5\sqrt[3]{72}\\\\=2\sqrt[3]{2}\sqrt[3]{5}\cdot \:5\sqrt[3]{2^3}\sqrt[3]{9}\\\\=2^2\cdot \:5\sqrt[3]{2\cdot \:5\cdot \:9}\\\\=2^2\cdot \:5\sqrt[3]{90}\\\\=5\cdot \:4\sqrt[3]{90}\\\\=20\sqrt[3]{90}[/tex]
saludos!!