Plot √2 and √3 on the number line.

Which statements are true? Check all that apply.
StartRoot 2 EndRoot < 2
StartRoot 2 EndRoot < StartRoot 3 EndRoot
StartRoot 2 EndRoot > 1.5
StartRoot 3 EndRoot < 3
StartRoot 2 EndRoot is about 0.5 less than StartRoot 3 EndRoot.
StartRoot 3 EndRoot is about 0.3 greater than StartRoot 2 EndRoot.

The statements (1), (2), (4) and (6) are true.

Step-by-step explanation:

Consider the diagram below for the number line.

From the number line it is clear that the above statement is true.

From the number line it is clear that the above statement is true.

The value of √2 is 1.414. This value is less than 1.5.

So, the above statement is false.

From the number line it is clear that the above statement is true.

The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.

Thus, the above statement is false.

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.

a

step-by-step explanation:

the answer is a