What is the cube root of 64?
Understand the Problem
The question is asking for the cube root of 64, which is the number that, when multiplied by itself three times, gives the value 64.
Answer
The cube root of 64 is $4$.
Answer for screen readers
The cube root of 64 is $4$.
Steps to Solve
-
Identify the cube root definition
The cube root of a number $x$ is a number $y$ such that $y^3 = x$. For our problem, we need to find $y$ such that $y^3 = 64$. -
Rewrite the equation
Set up the equation using the definition of the cube root: $$ y^3 = 64 $$ -
Find the cube root
To find $y$, we can express this as: $$ y = \sqrt[3]{64} $$ -
Compute the value
Now, we can calculate the cube root: Since $4 \times 4 \times 4 = 64$, we have: $$ y = 4 $$
The cube root of 64 is $4$.
More Information
The cube root is a basic mathematical concept, and finding cube roots is often fundamental in algebra. In this case, $4^3 = 64$, verifying our solution.
Tips
- Forgetting that the cube root can also be negative; however, since we are finding the principal cube root, we only consider the positive root in this context.
- Miscalculating cube values, so it's essential to remember that $4 \times 4 \times 4$ equals $64$.
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