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

  1. 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 $x^2 = 485$.

  2. 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.

  3. Calculate the square root Using a calculator, we find the exact value for the square root of 485:

$$ \sqrt{485} \approx 22.0364 $$

  1. 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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