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$\\sqrt3{125} =$ a. 11.2 b. $\\frac{125}{3}$ c. 5 d. 25

Question

$\sqrt3{125} =$
a. 11.2
b. $\frac{125}{3}$
c. 5
d. 25

Explanation:

Step1: Recall cube root definition

A cube root of a number \( x \) is a number \( y \) such that \( y^3 = x \). So we need to find \( y \) where \( y^3 = 125 \).

Step2: Test possible values

Check \( 5^3 \): \( 5\times5\times5 = 125 \). So \( \sqrt[3]{125}=5 \).

Answer:

C. 5