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evaluate \\(\\sqrt3{\\frac{27}{125}}\\). enter your answer as a fractio…

Question

evaluate \\(\sqrt3{\frac{27}{125}}\\).

enter your answer as a fraction, like this: 3/14

Explanation:

Step1: Apply the radical rule

$$\sqrt[3]{\frac{27}{125}} = \frac{\sqrt[3]{27}}{\sqrt[3]{125}}$$

Step2: Simplify the numerator and denominator

$$\frac{\sqrt[3]{3^3}}{\sqrt[3]{5^3}} = \frac{3}{5}$$

Answer:

3/5