QUESTION IMAGE
Question
5 equivalent radicals: sort the expressions into the correct column in the chart. *not all expressions will be used. equivalent to 6\\( sqrt3{2}\\) equivalent to 10\\( sqrt{3}\\) drag & drop the answer 5\\( sqrt{12}\\) 2\\( sqrt{30}\\) \\( sqrt3{72}\\) \\( sqrt3{432}\\) 2\\( sqrt3{54}\\) \\( sqrt{300}\\) note: use ctrl+d to drag the option via keyboard
Explicación:
Paso 1: Simplificar expresiones para $6\sqrt[3]{2}$
Simplificamos $\sqrt[3]{432}=\sqrt[3]{216\times2}=\sqrt[3]{6^{3}\times2}=6\sqrt[3]{2}$. También, $\sqrt[3]{72}=\sqrt[3]{8\times9}=2\sqrt[3]{9}
eq6\sqrt[3]{2}$, $2\sqrt[3]{54}=2\sqrt[3]{27\times2}=6\sqrt[3]{2}$.
Paso 2: Simplificar expresiones para $10\sqrt{3}$
Simplificamos $5\sqrt{12}=5\sqrt{4\times3}=10\sqrt{3}$, $\sqrt{300}=\sqrt{100\times3}=10\sqrt{3}$, $2\sqrt{30}
eq10\sqrt{3}$.
Respuesta:
Equivalente a $6\sqrt[3]{2}$: $\sqrt[3]{432}$, $2\sqrt[3]{54}$
Equivalente a $10\sqrt{3}$: $5\sqrt{12}$, $\sqrt{300}$
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Explicación:
Paso 1: Simplificar expresiones para $6\sqrt[3]{2}$
Simplificamos $\sqrt[3]{432}=\sqrt[3]{216\times2}=\sqrt[3]{6^{3}\times2}=6\sqrt[3]{2}$. También, $\sqrt[3]{72}=\sqrt[3]{8\times9}=2\sqrt[3]{9}
eq6\sqrt[3]{2}$, $2\sqrt[3]{54}=2\sqrt[3]{27\times2}=6\sqrt[3]{2}$.
Paso 2: Simplificar expresiones para $10\sqrt{3}$
Simplificamos $5\sqrt{12}=5\sqrt{4\times3}=10\sqrt{3}$, $\sqrt{300}=\sqrt{100\times3}=10\sqrt{3}$, $2\sqrt{30}
eq10\sqrt{3}$.
Respuesta:
Equivalente a $6\sqrt[3]{2}$: $\sqrt[3]{432}$, $2\sqrt[3]{54}$
Equivalente a $10\sqrt{3}$: $5\sqrt{12}$, $\sqrt{300}$