Question

can someone please explain how you would find the exact value of
3
---
√8

Answer 1

it is exact
you can rewrite in simplest radical form by multiplying top and bottom by \(\sqrt{2}\)

Answer 2

the decimal of that is 1.414213562373095

Answer 3

you get
\[\frac{3}{\sqrt{8}}\times \frac{\sqrt{2}}{\sqrt{2}}=\frac{3\sqrt{2}}{\sqrt{16}}=\frac{3\sqrt{2}}{4}\]

Answer 4

both numbers are "exact" second one is in simplest radical form.
decimal is an approximation, not exact

Answer 5

thanks that helped a lot! :D