What is the cube root of 85?
Understand the Problem
The question is asking for the cube root of 85, which means we need to find a number that, when multiplied by itself three times, equals 85. This involves understanding the concept of cube roots and performing the calculation.
Answer
The cube root of 85 is approximately $4.409$.
Answer for screen readers
The cube root of 85 is approximately $4.409$.
Steps to Solve
- Identifying the operation needed
We need to find the cube root of 85, denoted as $\sqrt[3]{85}$.
- Using a calculator or estimation
Since 85 is not a perfect cube, we can either estimate the value using a calculator or approximate between two known cubes.
The cube of 4 is $4^3 = 64$ and the cube of 5 is $5^3 = 125$.
Hence, we know:
$$ 4 < \sqrt[3]{85} < 5 $$
- Finding a more accurate value
Using a calculator, we find:
$$ \sqrt[3]{85} \approx 4.409 $$
This is the cube root of 85.
The cube root of 85 is approximately $4.409$.
More Information
The cube root is a special case in mathematics that deals with finding a number which, when multiplied by itself three times, results in the original number. The cube root of 85 is about 4.409, which is not an integer, illustrating it's between the cubes of 4 and 5.
Tips
Common mistakes include:
- Assuming 85 has an integer cube root, which it does not.
- Misestimating between 4 and 5 when finding the approximate value. To avoid these mistakes, ensure to calculate or use a calculator specifically for cube roots.
