square root of 884
Understand the Problem
The question is asking for the square root of the number 884. To solve this, we will find the number that, when multiplied by itself, equals 884.
Answer
$29.73$
Answer for screen readers
The square root of 884 is approximately $29.73$.
Steps to Solve
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Identify the number for the square root We need to find the square root of the number 884, which is represented mathematically as $ \sqrt{884} $.
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Estimate the square root We can start by estimating the value of the square root. The numbers 30 and 31 can be tested:
- $30^2 = 900$ (too high)
- $31^2 = 961$ (too high)
- $28^2 = 784$ (too low)
- $29^2 = 841$ (too low)
Since $29^2 < 884 < 30^2$, we know that $ \sqrt{884} $ is between 29 and 30.
- Use a calculator for precise calculation For a more precise value, using a calculator, we can find the square root directly. Inputting this gives us:
$$ \sqrt{884} \approx 29.73 $$
The square root of 884 is approximately $29.73$.
More Information
The number 884 is not a perfect square, which is why its square root is an irrational number. Approximating helps to understand its value better.
Tips
- A common mistake is to assume the square root is an integer without checking if the original number is a perfect square. To avoid this mistake, always test nearby integers when estimating.
