What is the square root of 69?
Understand the Problem
The question is asking for the numerical value of the square root of 69, which involves identifying which number multiplied by itself equals 69.
Answer
The square root of 69 is approximately $8.3066$.
Answer for screen readers
The square root of 69 is approximately $8.3066$.
Steps to Solve
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Identify the operation needed
We need to find the square root of 69. This can be expressed mathematically as:
$$ \sqrt{69} $$ -
Estimate the square root
To simplify our estimation, we can determine which two perfect squares are nearest to 69. We know that:
$$ 8^2 = 64 \quad \text{and} \quad 9^2 = 81 $$
This tells us that:
$$ 8 < \sqrt{69} < 9 $$ -
Use a calculator for a precise value
To find a more accurate value of $ \sqrt{69} $, we can use a calculator. By calculating, we find:
$$ \sqrt{69} \approx 8.3066 $$
The square root of 69 is approximately $8.3066$.
More Information
The square root of a number represents a value that, when multiplied by itself, gives the original number. In this case, $8.3066 \times 8.3066$ is close to 69.
Tips
- Ignoring the estimation: It's essential first to estimate where the square root falls between two whole numbers before calculating.
- Calculator inaccuracies: Relying on a calculator alone without understanding the steps may lead to a lack of comprehension of square roots.
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