Question

If √5 > 2.5, then (√5)2 > (2.5)2. We know that √5 > 2.5. Consequently, (√5)2 = 5 >(2.5)2 = 6.25. The conclusion given is false.

Answer 1

The conclusion that (√5)² > (2.5)² is false.

Step-by-step explanation:

To understand this question, let's break it down step by step:

1. The original statement is √5 > 2.5
2. To compare the squares of these two numbers, we square both sides: (√5)² > (2.5)²
3. Since (√5)² is equal to 5 and (2.5)² is equal to 6.25, the inequality becomes 5 > 6.25, which is false.

Therefore, the conclusion given in the question is false. The square of the √5 is not greater than the square of 2.5.