What is the square root of 964?
Understand the Problem
The question is asking for the square root of the number 964. This involves finding a number that, when multiplied by itself, equals 964.
Answer
The square root of 964 is approximately $31.05$.
Answer for screen readers
The square root of 964 is approximately $31.05$.
Steps to Solve
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Identify the Number The number to find the square root of is 964.
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Estimate the Square Root To find the square root, we can estimate between two perfect squares. The closest perfect squares to 964 are $31^2 = 961$ and $32^2 = 1024$. Therefore, the square root of 964 is between 31 and 32.
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Use a Calculator or Algorithm For an exact value, we can use a calculator. When we calculate the square root of 964, we find: $$ \sqrt{964} \approx 31.0 $$
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Round if Necessary If we wish to round to one decimal place, we see that: $$ \sqrt{964} \approx 31.1 $$
The square root of 964 is approximately $31.05$.
More Information
The square root of a number gives the value that, when multiplied by itself, equals the original number. Knowing the approximate range of the square root can help in estimating the answer without a calculator.
Tips
- Confusing the operation of finding the square root with squaring a number. Ensure you are looking for a value that equals the original number when multiplied by itself.
- Forgetting to consider the decimal place when estimating the square root.
