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3. $sqrt3{\frac{125}{64}}$

Question

  1. $sqrt3{\frac{125}{64}}$

Explanation:

Step1: Recall cube - root property

$\sqrt[3]{\frac{a}{b}}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}$, where $a = 125$ and $b = 64$.

Step2: Find cube - root of 125

Since $5\times5\times5=125$, $\sqrt[3]{125}=5$.

Step3: Find cube - root of 64

Since $4\times4\times4 = 64$, $\sqrt[3]{64}=4$.

Answer:

$\frac{5}{4}$