estimate each square root to one decimal place

Ex what is the square root of 15

Since 4^2 = 16, the answer must be slightly less that 4, 3.9?

To estimate the square root of 15 to one decimal place, you can use the following steps:

Step 1: Find the nearest perfect square number to 15. The perfect square numbers closest to 15 are 9 (3^2) and 16 (4^2). Since 15 is closer to 16, we can use 16 as our starting point.

Step 2: Take the square root of the perfect square number found in Step 1. The square root of 16 is 4.

Step 3: Divide the number you want to find the square root of (15) by the square root obtained in Step 2. 15 divided by 4 is 3.75.

Step 4: Average the result from Step 2 (4) and the result from Step 3 (3.75). Adding them together and dividing them by 2 gives you 3.875.

Therefore, an estimated square root of 15 to one decimal place is approximately 3.9.