What is the square root of 69?
Understand the Problem
The question is asking for the square root of 69, which is a mathematical operation where we need to find a number 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 operation
We want to find a number $x$ such that $x^2 = 69$.
- Estimate the square root
To estimate $\sqrt{69}$, consider perfect squares around 69. We know that $8^2 = 64$ and $9^2 = 81$. Thus, we can conclude that:
$$ 8 < \sqrt{69} < 9 $$
- Use a calculator for precision
Now, using a calculator, we can compute a more precise value for $\sqrt{69}$.
The calculator gives:
$$ \sqrt{69} \approx 8.3066 $$
- State the approximate answer
Thus, we can conclude that the approximate value of the square root of 69 is 8.3066.
The square root of 69 is approximately $8.3066$.
More Information
The square root of a number can often be found using simple estimation techniques followed by a calculator for more precision. Estimations help in understanding the range of possible values.
Tips
- Assuming that the square root is always a whole number can lead to incorrect conclusions, especially for non-perfect squares like 69. Always check the surrounding perfect squares.
AI-generated content may contain errors. Please verify critical information
