130 square root to the nearest hundredth.
11.40
square root of 130 = 11.40175 = 11.40
Wkks
Estimate the square root to the nearest hundredth
To find the square root of 130 to the nearest hundredth, you can use a calculator or a math app that has a square root function. However, let me explain the steps you could take to find the answer manually:
1. Start with an approximation: Take note that the square root of any number between 121 and 144 is approximately between 11 and 12. Since 130 falls in this range, we can approximate the square root of 130 to be close to 11.
2. Improve the approximation: To get a more precise answer, we can use the Babylonian method for finding square roots. It involves making iterative guesses and gradually refining the approximation until you reach the desired precision. Here's how it works:
- Begin by guessing that the square root of 130 is 11.
- Divide 130 by your approximation: 130 / 11 = 11.82.
- Average the result with your previous approximation: (11 + 11.82) / 2 = 11.41.
- Repeat: Divide 130 by the new approximation and average the result with the previous approximation. Keep doing this until you reach the desired level of precision.
3. Using the Babylonian method for a few iterations, the square root of 130 to the nearest hundredth is approximately 11.41.
So, after the manual calculations or by using a calculator, we find that the square root of 130 to the nearest hundredth is approximately 11.41.