What is the square root of 69?
Understand the Problem
The question is asking for the square root of the number 69, which is a mathematical operation. The square root of a number is a value that, when multiplied by itself, gives the original number.
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 operation needed
We need to find the square root of the number 69, which can be represented as $\sqrt{69}$.
- Use a calculator or estimate the square root
To find the square root accurately, we can use a calculator. Squaring numbers close to 69, we find that $8^2 = 64$ and $9^2 = 81$. This tells us that $\sqrt{69}$ is between 8 and 9.
- Calculate the square root using a calculator
Performing the calculation gives approximately:
$$ \sqrt{69} \approx 8.3066 $$
The square root of 69 is approximately $8.3066$.
More Information
The square root is often used in various mathematical contexts, such as geometry, statistics, and physics. Approximating square roots can be useful when working with irrational numbers.
Tips
- Rounding too early: Sometimes, calculations may lose accuracy if rounded too soon. It's best to keep more decimal places during calculations until the final answer.
- Misunderstanding the concept: It's essential to know that a square root is the number that, when multiplied by itself, gives the original number.
