Answer:
The statements (1), (2), (4) and (6) are true.
Step-by-step explanation:
Consider the diagram below for the number line.
- The first statement is:
From the number line it is clear that the above statement is true.
- The second statement is:
From the number line it is clear that the above statement is true.
- The third statement is:
The value of √2 is 1.414. This value is less than 1.5.
So, the above statement is false.
- The fourth statement is:
From the number line it is clear that the above statement is true.
- The fifth statement is:
The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Thus, the above statement is false.
- The sixth statement is:
The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Implying, √3 = √2 + 0.318.
⇒√3 = √2 + 0.3
Thus, the above statement is true.
