What is the cube root of 144?
Understand the Problem
The question is asking for the cube root of the number 144, which involves finding a number that, when multiplied by itself three times, equals 144.
Answer
\approx 5.24
Answer for screen readers
The final answer is approximately 5.24
Steps to Solve
- Identify the cube root function
The cube root function finds a number that, when cubed, equals the given number. For a number $a$, the cube root is denoted as $\sqrt[3]{a}$.
- Set up the cube root equation
We need to find $x$ such that $x^3 = 144$. This can be set up as:
$$ x = \sqrt[3]{144} $$
- Approximate the cube root
The cube root of 144 is not an integer, so we need to use an approximation method or a calculator to find it. Using a calculator, we find that:
$$ \sqrt[3]{144} \approx 5.24 $$
The final answer is approximately 5.24
More Information
A more precise value for the cube root of 144 is approximately 5.2415.
Tips
A common mistake is to confuse the cube root with the square root function or to forget that the cube root may not yield an integer.
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