Radicals has screwed me again. Please can anyone show me how to simplify this.

My exam is in a few hours and quick help would be much appreciated.

Thanks.

2. ## Re: Simplifying Radicals (2)

Originally Posted by grandepunto

My exam is in a few hours and quick help would be much appreciated.

Thanks.
get a common denominator and add 1 to the fraction inside the radical ...

3. ## Re: Simplifying Radicals (2)

Originally Posted by skeeter
get a common denominator and add 1 to the fraction inside the radical ...
Sorry for being such a nuisance, but could you please show how its done if its not too much trouble. I'm in quite a soup right now.

4. ## Re: Simplifying Radicals (2)

$1 + \frac{2x^2+1}{x^4}$

$\frac{x^4}{x^4} + + \frac{2x^2+1}{x^4}$

$\frac{x^4+2x^2+1}{x^4}$

$\frac{(x^2+1)^2}{(x^2)^2}$

$\left(\frac{x^2+1}{x^2}\right)^2$

now put it all to the 1/8 power and finish it

5. ## Re: Simplifying Radicals (2)

Originally Posted by skeeter
$1 + \frac{2x^2+1}{x^4}$

$\frac{x^4}{x^4} + + \frac{2x^2+1}{x^4}$

$\frac{x^4+2x^2+1}{x^4}$

$\frac{(x^2+1)^2}{(x^2)^2}$

$\left(\frac{x^2+1}{x^2}\right)^2$

now put it all to the 1/8 power and finish it
Thank you soo much. You are a true saviour.