Find the square root of 81.
The square root of 81 is 9.
To find the square root of 81, follow these steps:
1. Start with the number 81.
2. Divide 81 by any number that you think will give you a good estimate of the square root.
For example, let's start with 9, since 9 x 9 = 81.
3. Divide 81 by 9 to get 9.
This means that 9 is a good estimate for the square root of 81.
4. Now, take the average of your estimate and 9.
(9 + 9) / 2 = 9
You can use the average as a closer estimate.
5. Repeat steps 3 and 4 until you reach the desired level of accuracy.
By repeating the process a few more times, you get the following estimates:
9.000
9.0000
9.00000
...
After a few more iterations, you find that 9 is a good approximation for the square root of 81.
So, the square root of 81 is 9.
To find the square root of 81, you can use a few different methods. One common method is to use a calculator.
1. Using a calculator:
- Enter the number 81 into your calculator.
- Look for a button that says "√" or "square root". Press it.
- The answer displayed on the calculator should be the square root of 81, which is 9.
2. Using long division:
- Start by guessing a number that might be the square root of 81. Let's start with 9 for now.
- Divide 81 by 9: 81 ÷ 9 = 9.
- If your guess was correct, the quotient will be equal to your guess. In this case, 9 is the correct answer because 9 ÷ 9 = 1. If the quotient is not exactly equal to your guess, you will have to adjust your guess and repeat the division.
- Therefore, the square root of 81 is 9.
Note that the square root of a positive number has two possible solutions - a positive and a negative value. In this case, the positive square root is the commonly used value.
Keep in mind that there are additional methods to find square roots, such as the Babylonian method or using logarithms, but the methods mentioned above are the most straightforward for finding the square root of a given number.