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 that finds the 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
The problem requires finding the square root of the number 69, which means we need to find a number that, when multiplied by itself, equals 69.
- Set up the equation
To express this mathematically, we can set up the equation: $$ x^2 = 69 $$ where ( x ) represents the square root we want to find.
- Solve for ( x )
To isolate ( x ), we take the square root of both sides: $$ x = \sqrt{69} $$
- Calculate the square root
Using a calculator or estimating, we find: $$ x \approx 8.3066 $$
The square root of 69 is approximately $8.3066$.
More Information
The square root of a number can be an irrational number, which means it cannot be expressed as a simple fraction. The square root of 69 is approximately 8.3066, indicating that it lies between 8 and 9.
Tips
- Confusing squares and square roots: Ensure you understand that the square root of a number is what you multiply by itself to get that number.
- Rounding errors: Be careful with your calculator inputs to avoid inaccurate decimal places.
