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

To solve for \( a \) in the equation \( a^3 = 67 \), follow these steps:

1. Take the cube root of both sides to isolate \( a \):
   \[
   a = \sqrt[3]{67}
   \]

2. The cube root of 67 does not simplify into a neat rational number, so the exact value is left as:
   \[
   a = \sqrt[3]{67}
   \]

If you need an approximate decimal value:
\[
a \approx 4.074
\]

Would you like more details on the process or have any other questions?

### 5 Related Questions:
1. What are cube roots and how are they different from square roots?
2. How do you simplify cube roots with larger numbers?
3. Can you always express cube roots in radical form?
4. What are some methods to estimate cube roots without a calculator?
5. What is the difference between exact and approximate answers in radical form?

### Tip:
When solving equations with cube roots, remember that some roots can be simplified, especially if the radicand is a perfect cube.

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

Learn how to solve for a in the equation a^3 = 67, using cube roots to find the exact radical form and an approximate decimal value. This problem is ideal for students in Grades 9-11 and covers key algebraic concepts such as radical expressions and cube roots.

Math Problem Statement

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

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation