Look at this equation: b^3 = 125 Solve for b. b = ____

Recognize Cube Number: Step 1: Recognize that 125 is a cube number. 125 can be expressed as 5 * 5 * 5, which is 5^3.Set Up Equation: Step 2: Set up the equation to find the cube root of 125. Since b^3 = 125, we need to find the cube root of 125 to solve for b. b = cube root of 125Calculate Cube Root: Step 3: Calculate the cube root of 125. cube root of 125 = cube root of (5^3) By the property of cube roots, the cube root of a number raised to the power of three is the base number. b = 5

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Look at this equation: $\newline$ $b^3 = 125$ $\newline$ Solve for $b$ . $\newline$ $b =$ ____

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Math Problems

Grade 8

Solve equations using cube roots

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Q. Look at this equation:

\newline

b^3 = 125

\newline

Solve for

b

\newline

b =

____

Recognize Cube Number: Step $1$ : Recognize that $125$ is a cube number. $125$ can be expressed as $5 \times 5 \times 5$ , which is $5^3$ .
Set Up Equation: Step $2$ : Set up the equation to find the cube root of $125$ . Since $b^3 = 125$ , we need to find the cube root of $125$ to solve for $b$ . $b = \sqrt[3]{125}$
Calculate Cube Root: Step $3$ : Calculate the cube root of $125$ . $\newline$ cube root of $125 = \sqrt[3]{5^3}$ $\newline$ By the property of cube roots, the cube root of a number raised to the power of three is the base number. $\newline$ $b = 5$