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Look at this equation: $\newline$ $h^3 = 1,000$ $\newline$ What is $h$ , the cube root of $1,000$ ? $\newline$ h = ____

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Solve equations using cube roots

Full solution

Q. Look at this equation:

\newline

h^3 = 1,000

\newline

What is

h

, the cube root of

1,000

?

\newline

h = ____

Express as cube: Express $1,000$ as a cube of a number. $\newline$ $1,000$ can be written as $10 \times 10 \times 10$ . $\newline$ $1,000 = 10^3$
Find cube root: Find the cube root of $1,000$ . $\newline$ Since $1,000 = 10^3$ , the cube root of $1,000$ is the cube root of $10^3$ . $\newline$ Cube root and cube cancel each other out. $\newline$ Cube root of $1,000 = 10$

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