The square root of 28

The square root of 28 is approximately 5.2915.

To find the square root of 28, you can follow these steps:

Step 1: Start by making an initial guess for the square root. Let's start with the number 5.

Step 2: Square the initial guess. 5^2 = 25.

Step 3: Compare the squared guess to the original number. Is it smaller or larger than 28? In this case, it is smaller.

Step 4: Now, we need to improve our initial guess. To do this, find the difference between the original number (28) and the squared guess (25). 28 - 25 = 3.

Step 5: Divide the difference (3) by twice the initial guess (2 * 5 = 10). 3 / 10 = 0.3.

Step 6: Add the result of the division (0.3) to the initial guess (5). 5 + 0.3 = 5.3.

Step 7: Use the new guess (5.3) and repeat steps 2 to 6 until the guess is accurate enough.

By repeating these steps, you can continue to refine your guess until you reach an approximation that is accurate enough for you. However, it is important to note that the square root of 28 is an irrational number and its exact value cannot be expressed as a simple decimal or fraction.