square root of 320 rounded to the nearest tenth
The correct answer and explanation is:
The square root of 320 rounded to the nearest tenth is approximately 17.9.
Explanation:
To find the square root of a number, you are looking for a value that, when multiplied by itself, gives the original number. In this case, you want to find the square root of 320.
- Estimation:
First, let’s estimate the square root of 320 by finding two perfect squares that are close to 320. We know:- The square of 17 is 289.
- The square of 18 is 324.
320 is between 289 and 324, so the square root of 320 will be between 17 and 18.
- Using a calculator:
Using a calculator, the square root of 320 is approximately 17.888. - Rounding:
To round 17.888 to the nearest tenth, we look at the digit in the hundredths place (which is 8). Since 8 is greater than 5, we round up the tenths place, which makes the value 17.9.
Thus, the square root of 320, rounded to the nearest tenth, is 17.9.