Solve for a, Express your answer in simplest radical form if necessary.
a, cubed, equals, 70
a 
3
 =
70

We are given the equation:

\[
a^3 = 70
\]

To solve for \( a \), we need to take the cube root of both sides:

\[
a = \sqrt[3]{70}
\]

This is the simplest form of the answer because \( 70 \) cannot be factored into a cube of a smaller number, so the cube root cannot be simplified further.

Thus, the solution is:

\[
a = \sqrt[3]{70}
\]

Would you like further explanation on cube roots or other radical forms? 

Here are 5 related questions you could explore:
1. What is the decimal approximation of \( \sqrt[3]{70} \)?
2. How do you simplify \( \sqrt[3]{125} \)?
3. What is the difference between cube roots and square roots?
4. How do you solve an equation like \( a^4 = 81 \)?
5. How do you solve for \( x \) in \( x^3 + 5 = 100 \)?

**Tip**: When solving equations involving roots, always check if the number can be factored to simplify the root!

Solve for a, Express your answer in simplest radical form if necessary. a^3 = 70

Learn how to solve the equation a^3 = 70 and express the answer in simplest radical form. This algebraic problem involves cube roots and radicals, making it suitable for students in Grades 9-11. Follow along with the step-by-step solution.

Math Problem Statement

Solve for a, Express your answer in simplest radical form if necessary. a, cubed, equals, 70 a 3

Solution

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