Sure, let's go through the steps to find the square root of 60 and round it to four significant figures.
1. Finding the Square Root:
First, we need to determine the square root of 60. When you use a calculator or refer to a table of square roots, we find:
[tex]\[
\sqrt{60} \approx 7.745966692414834
\][/tex]
2. Rounding to Four Significant Figures:
Next, we need to round this value to four significant figures. To do this, we follow these steps:
- Identify the first four significant digits in the number: 7, 7, 4, and 5.
- Look at the fifth digit which is 9, in the decimal 7.745966692414834. Since it is 9 (which is greater than 5), we increase the fourth digit (5) by 1.
Therefore, rounding 7.745966692414834 to four significant figures results in:
[tex]\[
7.746
\][/tex]
Thus, the square root of 60, correct to four significant figures, is:
Answer: 7.746
