What is the square root of 11.5?
Understand the Problem
The question is asking for the square root of 11.5, which is a mathematical operation where we find a number that, when multiplied by itself, gives the original number 11.5.
Answer
The square root of 11.5 is approximately $3.391$.
Answer for screen readers
The square root of 11.5 is approximately $3.391$.
Steps to Solve
- Identify the square root operation
To find the square root of a number, we are looking for a value $x$ such that $x^2 = 11.5$.
- Use a calculator to approximate the square root
Since 11.5 is not a perfect square, we can use a calculator to find its approximate square root.
- Perform the calculation
Using a calculator, we input the value 11.5 and calculate its square root:
$$ \sqrt{11.5} \approx 3.391 , (rounded , to , three , decimal , places) $$
The square root of 11.5 is approximately $3.391$.
More Information
The square root of a number represents a value that produces the original number when squared. In this case, $3.391^2$ is approximately 11.5. It’s useful to know that many numbers do not have whole number square roots, and approximations are often used in calculations.
Tips
- Forgetting to round the answer may lead to a lengthy decimal, which can be unnecessary for most practical purposes. Always consider how precise you need the answer to be.
- Assuming every square root value is an integer. Remember that many numbers (like 11.5) will yield irrational or decimal results.
