Question
What is the following product? ^3 square root 4 * square root 3
Asked by: USER7455
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63 Answers
Answer (63)
[tex]a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt[n]{a\cdot b}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\\sqrt[3]4\cdot\sqrt3=4^\frac{1}{3}\cdot3^\frac{1}{2}=4^\frac{1\cdot2}{3\cdot2}\cdot3^\frac{1\cdot3}{2\cdot3}=4^\frac{2}{6}\cdot3^\frac{3}{6}=\sqrt[6]{4^2}\cdot\sqrt[6]{3^3}\\\\=\sqrt[6]{16}\cdot\sqrt[6]{27}=\sqrt[6]{16\cdot27}=\sqrt[6]{432}[/tex]
Answer:
C) on Edge
Step-by-step explanation:
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