Final answer:
To estimate the square root of 118 to the nearest tenth, we recognize that it is close to the square root of 121, which is 11. Using a calculator, the square root of 118 is approximately 10.86278, which rounds up to 10.9 when estimated to the nearest tenth.
Step-by-step explanation:
The question asks for an estimate of the square root of 118 to the nearest tenth. To find the square root of 118, we can use a calculator or estimate it based on known squares. We know that 11 squared (11²) is 121, and 10 squared (10²) is 100. Since 118 is closer to 121, its square root will be slightly less than 11. If we use a calculator, the square root of 118 is approximately 10.86278. To estimate this value to the nearest tenth, we look at the digit in the hundredths place, which is a 6. This tells us to round up the digit in the tenths place. Therefore, the estimate to the nearest tenth is 10.9.