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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

  1. 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:

$$ \sqrt{1322} $$

  1. 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:

$$ 36 < \sqrt{1322} < 37 $$

  1. 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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