How do you find the square root of 57 and then round to the nearest tenth
The correct answer and explanation is:
To find the square root of 57 and round it to the nearest tenth, you can follow these steps:
- Estimate the Square Root:
The square root of 57 lies between two whole numbers. The square root of 49 is 7, and the square root of 64 is 8. Since 57 is closer to 49 than it is to 64, the square root of 57 will be slightly above 7. - Use a Calculator:
To get a more precise value of the square root, use a calculator to find √57. The result is approximately 7.549. - Round to the Nearest Tenth:
The value 7.549 rounded to the nearest tenth is 7.5. This is because the digit in the hundredths place (4) is less than 5, so we round down.
Explanation:
The square root of a number is a value that, when multiplied by itself, gives the original number. For 57, its square root is an irrational number, meaning it cannot be expressed exactly as a simple fraction. However, using a calculator, you can get a decimal approximation of this square root. To make it easier to work with, rounding to a specific decimal place is often done based on the value of the digits in the number.
Rounding to the nearest tenth involves looking at the digit in the hundredths place (the second decimal place). If this digit is 5 or greater, you round up the tenths place by one. If it’s less than 5, you leave the tenths place unchanged.
In summary, the square root of 57 is approximately 7.549, and when rounded to the nearest tenth, the answer is 7.5. This process makes the result more manageable while still being accurate enough for most practical purposes.