Question

How is it possible to simplify 2 divided by (the square root of 6)? My calculator says that it is equal to (the square root of 6) divided by 3, but I would like to know how to find that.

Answer 1

Answer:

$\boxed{\frac{\sqrt{6}}{3}}$

Step-by-step explanation:

Multiply the fraction by $\frac{\sqrt{6}}{\sqrt{6}}$

$\frac{2}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} = \frac{2\sqrt{6}}{6}$

Cancel the 2s

$\frac{2\sqrt{6}}{6}= \frac{\sqrt{6}}{3}$

∴ $\boxed{\frac{2}{\sqrt{6}} = \frac{\sqrt{6}}{3}}$