Question

The midpoint of the pair of points $-\sqrt{2}$ and $-\sqrt{3}$ on the number line is

• A. $\frac{(\sqrt{2}+\sqrt{3})}{2}$
• B. $\frac{-(\sqrt{2}+\sqrt{3})}{2}$
• C. $\frac{-(\sqrt{2}-\sqrt{3})}{2}$
• D. $\frac{(\sqrt{2}-\sqrt{3})}{2}$

Answer 1

The correct option is B

$\frac{-(\sqrt{2}+\sqrt{3})}{2}$

Midpoint = $\frac{1}{2}\left[\right(-\sqrt{2})+(-\sqrt{3}\left)\right]$

Midpoint = $\frac{1}{2}[-\sqrt{2}-\sqrt{3})]$

Midpoint = $\frac{-(\sqrt{2}+\sqrt{3})}{2}$