Question

what is the solution of $x^3 = 25$?
$x = \sqrt{75}$
$x = \sqrt{5}$
$x = \sqrt3{5}$
$x = \sqrt3{25}$

Explanation:

Step1: Recall the cube root property

To solve the equation \(x^{3}=25\), we use the property that if \(y^{3}=a\), then \(y = \sqrt[3]{a}\) (the cube root of \(a\)).

Step2: Apply the cube root to both sides

Taking the cube root of both sides of the equation \(x^{3}=25\), we get \(x=\sqrt[3]{25}\).

Answer:

\(x = \sqrt[3]{25}\) (corresponding to the option with \(x=\sqrt[3]{25}\))