square root of 64

The square root of 64 is 8.

explaine

The square root of a number is a value that, when multiplied by itself, gives the original number as a result.

In the case of the number 64, the square root is 8 because 8 multiplied by 8 equals 64.

In mathematical notation, we can write √64 = 8.

To find the square root of 64, you can follow these steps:

Step 1: Start by estimating the square root. In this case, the number is a perfect square, so the square root is likely a whole number. A good estimate could be 8 because 8 * 8 = 64.

Step 2: Divide the number you want to find the square root of (64) by your estimate (8), and calculate the average of the result and the estimate.

64 / 8 = 8
(8 + 8) / 2 = 8

Step 3: Repeat step 2 until you reach a desired level of accuracy.

8 is a perfect square and its square root is itself (8), so we have found the exact square root of 64.

Therefore, the square root of 64 is 8.

To find the square root of 64, you can follow these steps:

Step 1: Start with the number you want to find the square root of, which is 64 in this case.

Step 2: Take an initial guess at what the square root might be. Since 64 is a perfect square, we know that the square root must also be a whole number. A good initial guess would be around the middle of the possible range of square roots of 64, which is 8.

Step 3: Divide the number you started with (64) by your initial guess (8). The result is 8.

Step 4: Take the average of your initial guess (8) and the result from Step 3 (8). This average is (8 + 8) / 2 = 8.

Step 5: Repeat steps 3 and 4 using the average you calculated in Step 4 as your new guess.

Step 3: Divide 64 by the new guess (8). The result is 8.

Step 4: Take the average of the new guess (8) and the result from Step 3 (8). This average is (8 + 8) / 2 = 8.

Step 5: Repeat steps 3 and 4 using the average you calculated in Step 4 as your new guess.

Continue repeating steps 3, 4, and 5 until the guess and result are very close or equal.

In this case, after a few iterations, the guess and result will be 8, which means the square root of 64 is 8.

So, the square root of 64 is 8.