What is the square root of 194?
Understand the Problem
The question is asking for the square root of the number 194, which is a mathematical operation that finds a value that, when multiplied by itself, gives the original number.
Answer
The square root of 194 is approximately $13.928$.
Answer for screen readers
The square root of 194 is approximately $13.928$.
Steps to Solve
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Identify the number We need to find the square root of the number 194.
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Use the square root operation We apply the square root operation to the number. This can be represented mathematically as: $$ \sqrt{194} $$
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Calculate the square root Now we can approximate the value of the square root using a calculator or estimation. The square root of 194 is approximately 13.928.
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Present the result Now that we have calculated the square root, we can conclude that: $$ \sqrt{194} \approx 13.928 $$
The square root of 194 is approximately $13.928$.
More Information
An interesting fact is that 194 is not a perfect square, which means its square root will not be a whole number. Instead, it falls between the whole numbers 13 and 14 since $13^2 = 169$ and $14^2 = 196$.
Tips
Common mistakes include:
- Assuming the square root is always a whole number. Remember that many numbers do not have perfect square roots.
- Forgetting to round the answer appropriately if a decimal is involved. Always double-check the precision required for your answer.
