What is the square root of 69?
Understand the Problem
The question is asking for the square root of the number 69. We will find the value that, when 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
- Identify the square root function
To find the square root of a number, we use the square root function, denoted as $\sqrt{}$. Therefore, we need to calculate $\sqrt{69}$.
- Estimate the square root
Since 69 is not a perfect square, we'll estimate the square root by finding the two perfect squares close to it. The perfect squares around 69 are $8^2 = 64$ and $9^2 = 81$.
This means that $\sqrt{69}$ is between 8 and 9.
- Calculate the square root
You can use a calculator or a numerical method to find a more precise value. When we calculate it, we get:
$$ \sqrt{69} \approx 8.3066 $$
- Round the answer
If a specific number of decimal places is needed, we can round this value. If we round to two decimal places, it would be approximately 8.31.
The square root of 69 is approximately $8.3066$.
More Information
The square root of a non-perfect square results in an irrational number. The approximation can vary slightly based on the method used for calculation (calculator, numerical methods, etc.).
Tips
- Assuming the square root must be an integer: Many might think the answer needs to be a whole number, but $\sqrt{69}$ is not an integer.
- Forgetting to check between two perfect squares: It’s essential to recognize the range the answer falls into when estimating before calculating.
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