Radicals

[Hockeyman]

Hey everyone, I was wondering if this was right:


4 over SqRt 2a---- times

= SqRT 2a over SqRt 2a

= 4*SqRt 2a over SqRT 4a^2

= 4*SqRt 2a over 2a

= 2a*SqRt 2a

* stands for times

I hope this isn't too hard to read. Thank you for any help in advance.

 

[stapel]

4 over SqRt 2a---- times

Do you mean "4/sqrt[2a]"? And "times" what?

Thank you.

Eliz.

 

[Hockeyman]

yes i do mean 4 divided by SqRt 2a, and I am multiplying that whole thing by the SqRt of 2a divided by the SqRt of 2a to get rid of the radical in the denominator.

 

[pka]

\(\displaystyle \L
\frac{4}{{\sqrt {2a} }} = \frac{4}{{\sqrt {2a} }}\frac{{\sqrt {2a} }}{{\sqrt {2a} }} = \frac{{4\sqrt {2a} }}{{2a}} = \frac{{2\sqrt {2a} }}{a}\)