What is the square root of 111?
Understand the Problem
The question is asking for the square root of the number 111, which is a mathematical operation. We will find the value that, when multiplied by itself, equals 111.
Answer
10.54
Answer for screen readers
The square root of 111 is approximately 10.53565375, and rounded to two decimal places, it is 10.54.
Steps to Solve
- Identify the operation to perform
We need to find the square root of 111, denoted as ( \sqrt{111} ).
- Use a calculator to find the square root
Since 111 is not a perfect square, we can use a calculator to find its approximate square root.
[ \sqrt{111} \approx 10.53565375 ]
- Round the result (if needed)
Depending on the level of precision needed, we can round the result. Commonly, we round to two decimal places.
[ \sqrt{111} \approx 10.54 ]
The square root of 111 is approximately 10.53565375, and rounded to two decimal places, it is 10.54.
More Information
The square root of a number is a value that, when multiplied by itself, gives the original number. The exact square root of 111 is an irrational number and can't be expressed precisely as a simple fraction or decimal.
Tips
A common mistake when calculating square roots of non-perfect squares is to try and simplify them into a fraction. However, irrational numbers like the square root of 111 cannot be exactly expressed as fractions.
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