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. To solve it, we can either estimate the square root or calculate it using a calculator.
Answer
The square root of 111 is approximately $10.5356$.
Answer for screen readers
The square root of 111 is approximately $10.5356$.
Steps to Solve
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Estimate the Square Root To estimate the square root of 111, we can find the squares of numbers around it. For example, $10^2 = 100$ and $11^2 = 121$. This means that the square root of 111 is between 10 and 11.
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Use a Calculator for Precision For a more precise answer, we can use a calculator to find the square root of 111.
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Calculate the Square Root Using a calculator, we can compute: $$ \sqrt{111} \approx 10.5356 $$
The square root of 111 is approximately $10.5356$.
More Information
The square root of 111 is an irrational number, meaning it cannot be expressed as a simple fraction. It has infinite non-repeating decimal places. The approximation $10.5356$ helps in practical applications.
Tips
- Assuming the square root is a whole number: It is important to remember that not all square roots are whole numbers, especially for non-perfect squares like 111.
