What is the square root of 1825?
Understand the Problem
The question is asking for the square root of 1825. To solve this, we will find the number that, when multiplied by itself, gives us 1825.
Answer
The square root of 1825 is approximately $42.722$.
Answer for screen readers
The square root of 1825 is approximately $42.722$.
Steps to Solve
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Estimate the Square Root To estimate the square root of 1825, we can find two perfect squares between which 1825 lies. The perfect squares are $42^2 = 1764$ and $43^2 = 1849$. Thus, we conclude that $42 < \sqrt{1825} < 43$.
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Use a Calculator To find a more accurate value of $\sqrt{1825}$, we can use a calculator. Enter the number 1825 and select the square root function.
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Refine the Calculation Using a calculator, we find that $\sqrt{1825} \approx 42.722$. This result can be verified by squaring 42.722 to see if it approximates 1825.
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Final Verification It is essential to check that $42.722^2 \approx 1825$ confirms the accuracy of our calculation.
The square root of 1825 is approximately $42.722$.
More Information
The number $42.722$ is a non-repeating decimal approximation of the square root of 1825. This value can be useful in various applications, such as geometry and physics, where square roots often arise.
Tips
- Misestimating the range for square roots: Always check nearby perfect squares to get a better estimate.
- Forgetting to verify by squaring the result to ensure it's close to the original number.
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