Question

How do you divide `sqrt8/ sqrt24`?

Answer 1

You use the fact that the fraction of two square root is the square root of the fraction, i.e.: `\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}`. So, in your case, you have
`\frac{\sqrt{8}}{\sqrt{24}}=\sqrt{\frac{8}{24}}=\sqrt{\frac{1}{3}}`.

If you want to write it in a different form, divide and multiply by `sqrt(3)` to get `\sqrt{\frac{1}{3}}=\frac{\sqrt(3)}{3}`