What is the square root of 485?
Understand the Problem
The question is asking for the square root of the number 485. This involves finding a value that, when multiplied by itself, gives 485.
Answer
The square root of 485 is approximately $22.0364$.
Answer for screen readers
The square root of 485 is approximately $22.0364$.
Steps to Solve
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Identify the number We need to find the square root of the number 485. The question can be stated mathematically as finding $x$ such that $x^2 = 485$.
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Use a calculator or estimation To find the square root, we can either use a calculator or estimate it. Since 22 squared ($22^2 = 484$) is close to 485, we can start our estimation around 22.
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Calculate the square root Using a calculator, we find the exact value for the square root of 485:
$$ \sqrt{485} \approx 22.0364 $$
- Double-check by squaring the result To verify our result, we can square our answer and see if it equals 485:
$$ 22.0364^2 \approx 485 $$
The square root of 485 is approximately $22.0364$.
More Information
The square root of a number is a value that, when multiplied by itself, gives the original number. It's common to encounter irrational numbers as square roots for non-perfect squares, such as 485.
Tips
- Forgetting to check if the square root is accurate by squaring the result.
- Misestimating the square root. It's always good to start with nearby perfect squares.
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