how would I convert 18/sqrt3 and 10/sqrt3 to simplest radical form?

Question

misty1212 · Answer

HI!!

misty1212 · Answer

$$\frac{18}{\sqrt3}=\frac{18}{\sqrt3}\times\frac{\sqrt3}{\sqrt3}=\frac{18\sqrt3}{3}=6\sqrt3$$ second one is similar

batman31 · Answer

I get how you did the first one now, but I dont quite understand how to apply this to the second one yet.

batman31 · Answer

10 isn't divisible by three, and I think thats throwing me off @misty1212

batman31 · Answer

does that mean it's already in simplest radical form?

anonymous · Answer

You can just leave out the final step if it doesn't divide evenly

batman31 · Answer

so it already is in simplest radical form?

anonymous · Answer

$  \frac{18}{\sqrt3}=\frac{18}{\sqrt3}\times\frac{\sqrt3}{\sqrt3}=\frac{18\sqrt3}{3}= \color{red}{6\sqrt3} $

If you can't divide, leave out only the red part.

batman31 · Answer

so (10sqrt3)/3 is simplest radical form?

anonymous · Answer

That's pretty much the agreed 'most simple' form.

anonymous · Answer

Even if it looks less simple, it's the most commonly accepted way to simplify it.

batman31 · Answer

thanks, can you medal misty for me since you both helped?

anonymous · Answer

sure, no problem