What is the square root of 93?
Understand the Problem
The question is asking for the value of the square root of 93, which can be calculated mathematically.
Answer
\( \approx 9.643 \)
Answer for screen readers
The final answer is approximately (9.643)
Steps to Solve
- Identify that 93 is not a perfect square
93 is not a perfect square because there is no integer which, when squared, equals 93.
- Approximate the square root
Use the fact that the square of 9 is 81 and the square of 10 is 100 to approximate the square root. Therefore,
$$ 9 < \sqrt{93} < 10 $$
- Refine the approximation
Using trial and error or a calculator, we get closer to a precise value.
$$ \sqrt{93} \approx 9.643 $$
The final answer is approximately (9.643)
More Information
The square root of a non-perfect square like 93 is an irrational number and cannot be expressed as a simple fraction.
Tips
A common mistake is to round too early, reducing the precision of the approximation.
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