Solve for cc. Express your answer in simplest radical form if necessary.
74, equals, c, cubed
74=
c
3

You are given the equation:

\[
74 = c^3
\]

To solve for \( c \), take the cube root of both sides:

\[
c = \sqrt[3]{74}
\]

This is the simplest radical form for \( c \). Since 74 is not a perfect cube, the cube root cannot be simplified further.

Thus, the solution is:

\[
c = \sqrt[3]{74}
\]

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. Solve \( 125 = c^3 \).
2. Solve \( c^3 = 27 \).
3. If \( 74 = c^3 + 2 \), solve for \( c \).
4. Solve for \( c \) if \( c^4 = 81 \).
5. Solve \( c^3 + 8 = 100 \) for \( c \).

**Tip:** Cube roots can be approximated using a calculator, but in pure math problems, it's often left in radical form unless a perfect cube.

Solve for c. Express your answer in simplest radical form if necessary. 74 = c^3

This solution demonstrates how to solve the equation 74 = c^3, providing a step-by-step explanation on how to find c by taking the cube root of 74. The problem is suitable for high school students, covering concepts in algebra and radical expressions.

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