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Temka [501]
3 years ago
12

What is the following product? 3sqrt4 times sqrt3​

Mathematics
1 answer:
Harman [31]3 years ago
3 0

Answer:

\sqrt[6]{432}

Step-by-step explanation:

\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}

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