Question

Compare the square root of 42 and the square root of 58 plotted on the number line. What is the approximate difference in tenths between the two values?

A) 1.3
B) 1.7
C) 2.1
D) 2.5

Answer 1

The approximate difference between the square roots of 42 and 58, calculated to the tenths place, is 1.1 and the closest answer choice is A) 1.3.

Step-by-step explanation:

The question asks to compare the square root of 42 and the square root of 58 and find the approximate difference between the two values, to one decimal place. First, we calculate the square roots:

• √42 ≈ 6.48
• √58 ≈ 7.62

To find the difference, subtract the smaller value from the larger value:

7.62 - 6.48 = 1.14

The approximate difference between the square root of 42 and the square root of 58 is 1.14, which when rounded to the tenths place is approximately 1.1. Therefore, the closest answer choice is A) 1.3, as it is the option that falls nearest to the calculated difference of 1.1.