What is the square root of 1322?
Understand the Problem
The question is asking to find the square root of the number 1322, which is a mathematical operation that determines a value that, when multiplied by itself, gives 1322.
Answer
The square root of 1322 is approximately $36.4$.
Answer for screen readers
The square root of 1322 is approximately $36.4$.
Steps to Solve
- Identify the square root operation
To find the square root of a number, you can use the square root symbol or an exponent. In this case, we want to find the square root of 1322, which can be expressed mathematically as:
$$ \sqrt{1322} $$
- Use a calculator or estimation method
You can use a calculator to directly compute the square root, or you can estimate it. To estimate, find two perfect squares between which 1322 lies.
For example, $36^2 = 1296$ and $37^2 = 1369$. This tells us that:
$$ 36 < \sqrt{1322} < 37 $$
- Calculate the exact square root
Using a calculator, compute:
$$ \sqrt{1322} \approx 36.4 $$
This is the approximate value of the square root of 1322.
The square root of 1322 is approximately $36.4$.
More Information
The square root of a number can often be found using estimation between adjacent perfect squares. Using a calculator provides an exact decimal approximation for easier use in calculations.
Tips
- Forgetting to check if the square root is an integer or a non-integer.
- Rounding too early in calculations, leading to inaccurate results. Always aim to keep extra decimal places until the final answer.
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