Question

Comparing square roots on a number line plot √2 and √3 on the number line, which statements are true? Check all that apply.

1) √2 < 2
2) √2 < √3
3) √2 > 1.5
4) √3 < 3
5) √2 is about 0.5 less than √3
6) √3 is about 0.3 greater than √2

Answer 1

On the number line, √3 is greater than √2 and satisfies the statements: √2 < √3 and √3 < 3.

Step-by-step explanation:

The comparison between √2 and √3 on a number line reveals the following:

1. True: √2 < 2
2. True: √2 < √3
3. False: √2 > 1.5
4. True: √3 < 3
5. False: √2 is not about 0.5 less than √3. In fact, √2 is greater than 0.5 and √3.
6. False: √3 is not about 0.3 greater than √2. In fact, √3 is greater than 0.3 and √2.