Question

It is known that 2.2<√5<2.3. Find all possible values of the expression: √5+2.

a) Between 4.2 and 4.3
b) Between 3.9 and 4.0
c) Between 4.0 and 4.1
d) Between 4.1 and 4.2

Answer 1

The expression √5+2, given that 2.2<√5<2.3, results in values between 4.2 and 4.3, which is option a).

Step-by-step explanation:

The question asks to find all possible values for the expression √5+2. We are given that 2.2<√5<2.3. To find the possible values of √5+2, we simply add 2 to each part of the inequality:

2.2 + 2 < √5 + 2 < 2.3 + 2

4.2 < √5 + 2 < 4.3

Therefore, the possible values for the expression √5+2 are between 4.2 and 4.3, which corresponds to option a).