To approximate the square root of [tex]\(52\)[/tex] to the tenths place, follow these steps:
1. Identify the number you need to find the square root of, which is [tex]\( 52 \)[/tex].
2. Calculate the square root of [tex]\( 52 \)[/tex]. The precise value of [tex]\( \sqrt{52} \)[/tex] is approximately [tex]\( 7.211102550927978 \)[/tex].
3. Once the square root value is determined, round this number to the nearest tenths place.
- To do this, look at the digit in the hundredths place, which is the second digit after the decimal point.
- In [tex]\( 7.211102550927978 \)[/tex], the hundredths place digit is [tex]\( 1 \)[/tex].
4. Since the digit in the hundredths place ([tex]\(1\)[/tex]) is less than [tex]\(5\)[/tex], you round down.
Therefore, when you round [tex]\(7.211102550927978\)[/tex] to the nearest tenths place, you get [tex]\( 7.2 \)[/tex].
Thus, the approximate value of [tex]\( \sqrt{52} \)[/tex] to the tenths place is [tex]\( \boxed{7.2} \)[/tex].
