What is the square root of 58?
Understand the Problem
The question is asking for the square root of the number 58, which is a mathematical operation.
Answer
\approx 7.6158
Answer for screen readers
The square root of 58 is approximately 7.6158
Steps to Solve
Steps to Solve the Problem
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Identify the square root operation
We need to find a number that, when multiplied by itself, gives the result 58. This means finding $ \sqrt{58} $.
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Approximate the square root, if necessary
Since 58 is not a perfect square, we can use a calculator for an accurate result. Approximating manually, we know that $ \sqrt{49} = 7 $ and $ \sqrt{64} = 8 $, so $ \sqrt{58} $ should be between 7 and 8.
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Use a calculator for precision
Using a calculator, we find that:
$$ \sqrt{58} \approx 7.6158 $$
The square root of 58 is approximately 7.6158
More Information
The square root of 58 is an irrational number, meaning it cannot be expressed as a precise fraction or a repeating or terminating decimal.
Tips
A common mistake is to try to simplify the square root of a non-perfect square without using a calculator. Remember that only perfect squares have exact integer square roots.
