Look at this equation: z^3 = 125 What is z, the cube root of 125? z = ____

Express as Cube: Step 1: Express 125 as a cube of a number. 125 can be written as 5 * 5 * 5, which is 5^3.Apply Cube Root: Step 2: Apply the cube root to both sides of the equation z^3 = 125. Since 125 = 5^3, then z^3 = 5^3. Taking the cube root of both sides, z = cube root of (5^3).Simplify Cube Root: Step 3: Simplify the cube root. The cube root of 5^3 is 5, because the cube and cube root cancel each other out. So, z = 5.

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Look at this equation: $\newline$ $z^3 = 125$ $\newline$ What is $z$ , the cube root of $125$ ? $\newline$ $z =$ ____

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Math Problems

Grade 8

Solve equations using cube roots

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Q. Look at this equation:

\newline

z^3 = 125

\newline

What is

z

, the cube root of

125

\newline

z =

____

Express as Cube: Step $1$ : Express $125$ as a cube of a number. $\newline$ $125$ can be written as $5 \times 5 \times 5$ , which is $5^3$ .
Apply Cube Root: Step $2$ : Apply the cube root to both sides of the equation $z^3 = 125$ . Since $125 = 5^3$ , then $z^3 = 5^3$ . Taking the cube root of both sides, $z = \text{cube root of } (5^3)$ .
Simplify Cube Root: Step $3$ : Simplify the cube root. $\newline$ The cube root of $5^3$ is $5$ , because the cube and cube root cancel each other out. $\newline$ So, $z = 5$ .