Solve for a,*a*. Express your answer in simplest radical form if necessary.

a, cubed, equals, 67

*a*3=

67

To solve for \( a \) given that:

\[
a^3 = 67
\]

we take the cube root of both sides to isolate \( a \):

\[
a = \sqrt[3]{67}
\]

Since 67 is not a perfect cube, this is the simplest form of the answer. Approximating, we get:

\[
a \approx 4.041
\]

So, the answer in simplest radical form is:

\[
a = \sqrt[3]{67}
\]

Would you like more details on solving cube root equations?

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1. What are the steps to approximate cube roots without a calculator?
2. How can cube roots be expressed in terms of exponent fractions?
3. When do equations require simplification of radical forms?
4. What are the properties of exponents when working with radicals?
5. How do cube roots differ from square roots in terms of properties and applications?

**Tip:** In radical equations, simplify only when possible for exact values, especially with non-perfect cubes.

Solve for a, a. Express your answer in simplest radical form if necessary.
a, cubed, equals, 67
a^3 = 67

Explore how to solve for a when given the equation a³ = 67. This problem introduces algebraic concepts like cube roots and radicals, perfect for high school students. The solution includes the cube root property and approximates the answer in simplest radical form.

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