Help understanding simplification of problem with radicals and exponents

Hello,

Im working on trying to learn trigonometry but my lack of a comprehensive understanding of algebra and basic math is holding me back here.

I am working on a problem using an online tutoring website and after asking the computer for help solving the problem it gave me an answer but I don't understand how it got there.

The original problem looks like this: (((3^.5)/3)^2+1)^.5

and it was simplified to this: (2(3^.5))/3

How was this done can someone explain the steps so I get a better understanding of the basic arithmetic going on here I would rather know how its done than continue to rely on the calculator like I have done for far too long with some obvious negative results. Thanks for any help you guys can give!

Re: Help understanding simplification of problem with radicals and exponents

Quote:

Originally Posted by

**Jkoziol** Hello,

Im working on trying to learn trigonometry but my lack of a comprehensive understanding of algebra and basic math is holding me back here.

I am working on a problem using an online tutoring website and after asking the computer for help solving the problem it gave me an answer but I don't understand how it got there.

The original problem looks like this: (((3^.5)/3)^2+1)^.5

and it was simplified to this: (2(3^.5))/3

How was this done can someone explain the steps so I get a better understanding of the basic arithmetic going on here I would rather know how its done than continue to rely on the calculator like I have done for far too long with some obvious negative results. Thanks for any help you guys can give!

Re: Help understanding simplification of problem with radicals and exponents

Thanks for the help I have one more problem for you.

Here is another simplification I don't understand

1/cosx=(2*3^.5)/3 and it was simplified to cosx=(3^.5)/2

If anyone could help me out it would be greatly appreciated.

Re: Help understanding simplification of problem with radicals and exponents

Quote:

Originally Posted by

**Jkoziol** Thanks for the help I have one more problem for you.

Here is another simplification I don't understand

1/cosx=(2*3^.5)/3 and it was simplified to cosx=(3^.5)/2

If anyone could help me out it would be greatly appreciated.

now ... what is 3 divided by its own square root?