What is the square root of 3281?
Understand the Problem
The question is asking for the square root of 3281. To find this, we will calculate the number that, when multiplied by itself, gives 3281.
Answer
$\sqrt{3281} \approx 57.2$
Answer for screen readers
$\sqrt{3281} \approx 57.2$
Steps to Solve
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Estimate the Square Root To find the square root of 3281, we start by estimating the value. We know that $57^2 = 3249$ and $58^2 = 3364$. Therefore, the square root of 3281 is between 57 and 58.
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Use a Calculator To proceed with a more accurate calculation, we can use a scientific calculator or a square root function. Enter 3281 and calculate the square root.
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Calculate the Square Root Using a calculator, we find: $$ \sqrt{3281} \approx 57.2 $$
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Round to Desired Precision Depending on the question, we may round to a specific number of decimal places. Here, we can say the square root of 3281 is approximately $57.2$ when rounded to one decimal place.
$\sqrt{3281} \approx 57.2$
More Information
The square root of a number is a value that, when multiplied by itself, yields the original number. Finding square roots can help in various applications such as geometry, algebra, and even in real-life situations like determining distances in coordinate systems.
Tips
- Mistaking the perfect squares: Failing to recognize that $57^2$ is less than 3281 and $58^2$ is more than 3281, which could lead to estimating the square root incorrectly.
- Not rounding correctly: Forgetting to round the answer to the required precision.
