Find the square root of 0.64.
The square root of 0.64 is 0.8.
To find the square root of 0.64, follow these steps:
1. Start by recognizing that the square root of a number, x, is equal to another number, y, when y multiplied by itself equals x.
2. In this case, we want to find y when y * y = 0.64.
3. Take the square root of 0.64 by using a calculator or manual computation. The square root of 0.64 is approximately 0.8.
4. Therefore, the square root of 0.64 is 0.8.
To find the square root of 0.64, you can use a calculator or apply a manual calculation method. Let's calculate it manually.
First, we have to understand that the square root of a number, denoted by √x, is a value that, when multiplied by itself, equals x.
To find the square root of 0.64, follow these steps:
1. Start by making an estimate. The closest perfect square to 0.64 is 0.49, which is the square of 0.7.
So, we can estimate that the square root of 0.64 is approximately 0.7.
2. Next, refine the estimate using a division method called the Babylonian method. Divide 0.64 by the previous estimate (0.7):
0.64 / 0.7 ≈ 0.9142857142857143
3. Now, take the average of the refined estimate and the previous estimate:
(0.7 + 0.9142857142857143) / 2 ≈ 0.8071428571428571
4. Repeat step 2 with the refined estimate:
0.64 / 0.8071428571428571 ≈ 0.793859649122807
5. Again, take the average of the refined estimate and the previous estimate:
( 0.8071428571428571 + 0.793859649122807) / 2 ≈ 0.8005012531328328
6. Continue repeating steps 2 to 5 until the desired level of accuracy is reached (or you can use a calculator):
( 0.793859649122807 + 0.8005012531328328 ) / 2 ≈ 0.7971804511278199
By following these steps, we can estimate the square root of 0.64 to be approximately 0.797.