Solve 2/5(sqrt(3)^5)=18sqrt(3)/5 | Math Problem Help

[alpha01]

can someone please show how 2/5(sqrt(3)^5) = 18sqrt(3) / 5

thanks

 

[cristo]

Can you write $$\sqrt{3}^5$$ as $3^n$ for some rational, n?

I'm moving this to precalc HW forum.

 

[alpha01]

no, i can't find n.

also, this isn't a homework or school related question. I can't see why a warning was necessary.

 

[Tedjn]

$$\sqrt{3}$$ is three raised to what power?

 

[CompuChip]

can someone please show how 2/5(sqrt(3)^5) = 18sqrt(3) / 5

thanks

You can also go the other way around, and divide out as much common terms from both sides as possible. Then see if you can prove the remaining identity.