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What is [tex] 3\sqrt{18} [/tex] + [tex] 2\sqrt{50} [/tex] simplified?

F.[tex] 19\sqrt{2} [/tex]

G.[tex] 39\sqrt{2} [/tex]

H.[tex] 77\sqrt{2} [/tex]

I. [tex] 90\sqrt{2} [/tex]

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Respuesta :

[tex]\bf 3\sqrt{18}+2\sqrt{50}\qquad \begin{cases} 18=2\cdot 3\cdot 3\\ \qquad 2\cdot 3^2\\ 50=2\cdot 5\cdot 5\\ \qquad 2\cdot 5^2 \end{cases}\implies 3\sqrt{2\cdot 3^2}+2\sqrt{2\cdot 5^2} \\\\\\ 3\cdot 3\sqrt{2}+2\cdot 5\sqrt{2}\implies 9\sqrt{2}+10\sqrt{2}\implies 19\sqrt{2}[/tex]

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