Question

Which expressions have a value between 7 and 8? Choose all that apply.

A. 2p

B. p/4

C. √48

D. √56

E. √62

Answer 1

c) The expressions that have values between 7 and 8 are option C (√48), option D (√56), and option E (√62), as they fall between the square roots of 49 and 64.

Step-by-step explanation:

The correct answer is option C, option D, and option E. To find which expressions have values between 7 and 8, we must evaluate the square root expressions given. Using the calculator or knowledge of perfect squares, we know:

• √48 is less than √49 (which is 7), so this is not between 7 and 8.
• √56 is less than √64 (which is 8) but greater than √49 (which is 7), so this is between 7 and 8.
• √62 is less than √64 (which is 8) but greater than √49 (which is 7), so this is also between 7 and 8.

Without information on the variable p, we cannot determine if options A or B are between 7 and 8. Therefore, only options C, D, and E have guaranteed values between 7 and 8.