Explain how to use the square roots of 144 and 169 to estimate the square root of 154. I NEED THE ANSWER TONIGHT!
The square root of 144 is 12. The square root of 169 is 13. Therefore, you can estimate the square root of 154 is between 12 and 13 because 154 is between 144 and 169.
To estimate the square root of 154 using the square roots of 144 and 169, follow these steps:
Step 1: Find the square roots of 144 and 169.
The square root of 144 is 12 because 12 * 12 = 144.
The square root of 169 is 13 because 13 * 13 = 169.
Step 2: Determine which square root is closest to 154.
Since 154 is between 144 and 169, we can compare the distance of 154 from each of these square roots.
To find the difference between 144 and 154, subtract 144 from 154: 154 - 144 = 10.
To find the difference between 169 and 154, subtract 154 from 169: 169 - 154 = 15.
Step 3: Estimate the square root of 154.
Since 10 is smaller than 15, it means that 154 is closer to 144 than 169. Therefore, we can estimate that the square root of 154 is closer to the square root of 144, which is 12.
Therefore, you can estimate that the square root of 154 is approximately 12.