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Look at this equation: $\newline$ $h^3 = 8$ $\newline$ Solve for $h$ . $\newline$ $h =$ ____

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Solve equations using cube roots

Full solution

Q. Look at this equation:

\newline

h^3 = 8

\newline

Solve for

h

.

\newline

h =

____

Recognize Cube of $8$ : Recognize that $8$ can be expressed as a cube of a number. $8 = 2 \times 2 \times 2$ $8 = 2^3$
Apply Cube Root: Apply the cube root to both sides of the equation $h^3 = 8$ . $\newline$ $h = \sqrt[3]{8}$ $\newline$ $h = \sqrt[3]{2^3}$
Simplify Using Property: Simplify using the property that the cube root and the cube cancel each other. $\newline$ $h = 2$

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