What is the square root of 373?
Understand the Problem
The question is asking for the square root of the number 373. This involves determining which number, when multiplied by itself, equals 373.
Answer
The square root of $373$ is approximately $19.313$.
Answer for screen readers
The square root of $373$ is approximately $19.313$.
Steps to Solve
- Identifying the square root operation
To find the square root of a number, we are looking for a number that, when multiplied by itself, gives us that original number. In our case, we want to find $x$ such that $x^2 = 373$.
- Using a calculator or approximation method
Since $373$ is not a perfect square, we will use a calculator to find its square root. You can either input the number into a scientific calculator or use a mathematical software tool.
- Calculating the square root
Using a calculator, we find:
$$ \sqrt{373} \approx 19.313 , \text{(rounded to three decimal places)} $$
- Verifying the result
To ensure accuracy, we can verify that $19.313^2$ is approximately $373$:
$$ 19.313 \times 19.313 \approx 373 $$
The square root of $373$ is approximately $19.313$.
More Information
The square root of a non-perfect square can often result in an irrational number. In this case, $19.313$ is a decimal approximation of the actual square root of $373$. The exact square root cannot be expressed as a simple fraction or a terminating decimal.
Tips
- Not using a calculator: Many might try to compute the square root of non-perfect squares without a calculator, leading to errors.
- Rounding too early: It is important to keep more decimal places during intermediate calculations for better accuracy in the final result.
