whats the square root of 175
The square root of 175 is approximately 13.23.
Find the square root of 175.(1 point)
The square root of 175 is approximately 13.23.
To find the square root of 175, you can use a calculator or follow these steps:
1. Start by estimating the square root. Since 12 squared (12 x 12) is 144, and 13 squared is 169, we can estimate that the square root of 175 is slightly greater than 13.
2. Choose a number greater than 13 to test as a possible square root. Let's try 14. Square 14 (14 x 14) to see if it is close to 175.
14 x 14 = 196
Since 196 is greater than 175, we know that the square root of 175 is less than 14.
3. Choose another number to test. Let's try 13.5. Square 13.5 to see if it is closer to 175.
13.5 x 13.5 = 182.25
Since 182.25 is greater than 175, we know that the square root of 175 is less than 13.5.
4. Continue narrowing down the range between 13 and 13.5 by choosing a number with more decimal places. Let's try 13.4.
13.4 x 13.4 = 179.56
Since 179.56 is also greater than 175, we know that the square root of 175 is less than 13.4.
5. Keep repeating the previous step with smaller increments until you find a closer approximation. Let's try 13.3.
13.3 x 13.3 = 176.89
Since 176.89 is slightly greater than 175, we know that the square root of 175 is slightly less than 13.3.
6. Continue this process of trial and error with smaller and smaller increments until you have the desired level of precision. You will find that the square root of 175 is approximately 13.228.
Therefore, the square root of 175 is approximately 13.228.