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what is the following quotient? \\(\\frac{\\sqrt3{60}}{\\sqrt3{20}}\\) …

Question

what is the following quotient? \\(\frac{\sqrt3{60}}{\sqrt3{20}}\\) \\(2\left(\sqrt3{5}\
ight)\\) \\(\sqrt3{3}\\) 40 3

Explanation:

Step1: Simplify the cube root fraction

We have \(\frac{\sqrt[3]{60}}{\sqrt[3]{20}}\). Using the property of cube roots \(\frac{\sqrt[3]{a}}{\sqrt[3]{b}}=\sqrt[3]{\frac{a}{b}}\), so this becomes \(\sqrt[3]{\frac{60}{20}}\).

Step2: Simplify the fraction inside the cube root

Calculate \(\frac{60}{20} = 3\)? Wait, no, 60 divided by 20 is 3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3? Wait, no, 60 = 20×3?…

Answer:

Step1: Simplify the cube root fraction

We have \(\frac{\sqrt[3]{60}}{\sqrt[3]{20}}\). Using the property of cube roots \(\frac{\sqrt[3]{a}}{\sqrt[3]{b}}=\sqrt[3]{\frac{a}{b}}\), so this becomes \(\sqrt[3]{\frac{60}{20}}\).

Step2: Simplify the fraction inside the cube root

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