# 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.

The square root of 194 is approximately $13.928$.

The square root of 194 is approximately $13.928$.

#### Steps to Solve

1. Identify the number We need to find the square root of the number 194.

2. Use the square root operation We apply the square root operation to the number. This can be represented mathematically as: $$\sqrt{194}$$

3. 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.

4. 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 $13.928$.

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.
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