Question

How do you solve 63
-----
8
with a radical sign over the whole thing?

Answer 1

\[\sqrt{63/8}\]

Answer 2

are you trying to rationalize the denominator?

Answer 3

simplifying the whole thing.

Answer 4

\[63=9\times 7\] so
\[\sqrt{36}=\sqrt{9}\times \sqrt{7}=3\sqrt{7}\] and similarly
\[\sqrt{8}=2\sqrt{2}\]so start with
\[\frac{3\sqrt{7}}{2\sqrt{2}}\]

Answer 5

then you can multiply top and bottom by
\[\sqrt{2}\] if you like to get
\[\frac{3\sqrt{7}}{2\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=\frac{3\sqrt{14}}{4}\]\]