Question

question
rewrite \\(\sqrt3{125}\\) in simplest form.

answer attempt 1 out of 2

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Explanation:

Step1: Recall cube of 5

We know that \(5\times5\times5 = 5^3=125\).

Step2: Simplify the cube root

Using the property of cube roots \(\sqrt[3]{a^3}=a\) (for real numbers \(a\)), since \(125 = 5^3\), we have \(\sqrt[3]{125}=\sqrt[3]{5^3}\).
Applying the property, \(\sqrt[3]{5^3} = 5\).

Answer:

\(5\)