Ac3
  • Ac3
Simplify the following expression. sqrt((1/(3(1+x)^(1/2))+(1/(3(1-x)^(1/2)))
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
freckles
  • freckles
\[\sqrt{\frac{1}{3(1+x)^\frac{1}{2}}+\frac{1}{3(1-x)^\frac{1}{2}}}\] is this right?
Ac3
  • Ac3
\[\sqrt{(\frac{ 1 }{ 3(1+x)^{1/2}})^{2}+(\frac{ 1 }{ 3(1-x)^{1/2} })^{2}}\]
Ac3
  • Ac3
Forgot to square it

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Ac3
  • Ac3
This is the one.
freckles
  • freckles
\[\text{ by law of exponents you can write } (\frac{1}{3(1+x)^\frac{1}{2}})^2=\frac{1^2}{3^2(1+x)^\frac{2}{2}}...\] you can do the same with the other term inside that big square root thingy
Ac3
  • Ac3
I know how to do it. I just want to see what someone else gets.
Ac3
  • Ac3
I don't like my answer.
freckles
  • freckles
what did you get?
Ac3
  • Ac3
\[\frac{ 1 }{ 3 }\sqrt{\frac{ 2 }{ 1-x^2 }}\]
freckles
  • freckles
that is what I have too.. \[\sqrt{\frac{1}{9(1+x)}+\frac{1}{9(1-x)}} \\ \sqrt{\frac{1}{9}} \sqrt{\frac{1}{1+x}+\frac{1}{1-x}} \\ \frac{1}{3} \sqrt{\frac{2}{1-x^2}} \]
Ac3
  • Ac3
The reason I don't like it. Is because in these problems that I've been doing we tend to get rid of x in the expression through simplifying.
freckles
  • freckles
you can't get rid of x here though ...
Ac3
  • Ac3
Since it's not disappearing makes me wonder that I did something wrong. However no matter how many times I go back I can't find anything wrong with my math.
Ac3
  • Ac3
Take this last one for example.
Ac3
  • Ac3
\[\sqrt{\frac{ (sinx)^2 }{ 2 }+(cosx)^2+\frac{ (sinx)^2 }{ 2 }}\]
Ac3
  • Ac3
in that one we get rid of x. It all simplifies down to 1.
freckles
  • freckles
right because sin^2(x)+cos^2(x)=1 and the sqrt(1)=1
Ac3
  • Ac3
exactly so that's why I'm a bit worried that we may be wrong. We usually tend to get rid of the x from inside of the radical at least.
freckles
  • freckles
if you want to rationalize the denominator you can but that would still leave x inside the radical in the numerator
Ac3
  • Ac3
oh well, hopefully it's right. Thanks!
freckles
  • freckles
but the simplification you have is so far right if the problem really is: \[\sqrt{(\frac{1}{3(1+x)^\frac{1}{2}})^2+(\frac{1}{3(1-x)^\frac{1}{2}})^2}\]
Ac3
  • Ac3
yes it is. It is right. On the next part of the problem it makes sense.
Ac3
  • Ac3
Thanks!
freckles
  • freckles
np

Looking for something else?

Not the answer you are looking for? Search for more explanations.