Which point best represents sqrt 10

on a number line?

The number line between 0 and 10 shows points A, B, C, and D. The point A is at 2, B is between 3 and 4, C is at 5, and D is at 10.

A.
point A

B.
point B

C.
point C

D.
point D

1 answer

To find \(\sqrt{10}\), we can approximate its value. Since \(3^2 = 9\) and \(4^2 = 16\), we know that \(\sqrt{10}\) is between 3 and 4.

Looking at the options given:

  • Point A is at 2
  • Point B is between 3 and 4
  • Point C is at 5
  • Point D is at 10

Since \(\sqrt{10}\) is between 3 and 4, the point that best represents \(\sqrt{10}\) on the number line is point B.

So, the answer is:

B. point B