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Look at this equation: $\newline$ $c^3 = 27$ $\newline$ $\newline$ What is $c$ , the cube root of $27$ ? $\newline$ $c =$ ____ $\newline$

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Solve equations using cube roots

Full solution

Q. Look at this equation:

\newline

c^3 = 27

\newline

\newline

What is

c

, the cube root of

27

?

\newline

c =

____

\newline

Identify Operation: Identify the operation needed to solve for $c$ . We need to find the cube root of $27$ to solve for $c$ .
Express as Cube: Express $27$ as a cube of an integer. $\newline$ $27$ can be written as $3^3$ because $3 \times 3 \times 3$ equals $27$ .
Calculate Cube Root: Calculate the cube root of $27$ . The cube root of $27$ is the number that, when multiplied by itself three times, gives $27$ . Since $27$ is $3^3$ , the cube root of $27$ is $3$ .

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