The statements which are true for the number line plotted for the numbers √2 and √3 are statement 1,2,4 and 6 which are,
[tex]\sqrt{2} < 2\\\sqrt{2} < \sqrt{3}\\\sqrt{3} < 3\\\sqrt{3} < \sqrt{2}+0.3\\[/tex]
The number line is the way of representation of number and digits in a arranged form to understand the data batter.
The number line for the numbers √2 and √3 are plotted and attached in the below.
In the attached image, it can be seen that the root of number 2 is less than the number.
The root of number 3 is less than the number 3 but greater than number 2.
In the given options, the option 1,2,4 and 6 are correct for the plotted number line.
Thus, the statements which are true for the number line plotted for the numbers √2 and √3 are statement 1,2,4 and 6 which are,
[tex]\sqrt{2} < 2\\\sqrt{2} < \sqrt{3}\\\sqrt{3} < 3\\\sqrt{3} < \sqrt{2}+0.3\\[/tex]
Learn more about the number line here;
https://brainly.com/question/24644930
