Question

It is known that (2.2 < √5 < 2.3). Find the possible values of the expression:

a) (4.84 < x < 5.29)
b) (4.72 < x < 5.18)
c) (4.92 < x < 5.38)
d) (4.65 < x < 5.10)

Answer 1

The correct answer to the student's question is expression a) (4.84 < x < 5.29) because it is the only range where x aligns with the square of a number between 2.2 and 2.3.

Step-by-step explanation:

The student's question pertains to finding the possible values of x knowing that the square root of 5 lies between 2.2 and 2.3. Without the need for further context or information about typos, the only expression that could be a square and is within that range is the expression (4.84 < x < 5.29), because the square of 2.2 is 4.84 and the square of 2.3 is 5.29. It is the only range that correctly squares into the interval between 4.84 and 5.29, which suggests that x represents the square of a number between 2.2 and 2.3, that number being the square root of 5.