SOLUTION: Please help me simplify: {{{sqrt(2-(4)/z^2+(2)/z^4)}}} Thank you.

Algebra ->  Radicals -> SOLUTION: Please help me simplify: {{{sqrt(2-(4)/z^2+(2)/z^4)}}} Thank you.      Log On


   

Question 210449This question is from textbook Intoductery Algebra
: Please help me simplify:
sqrt%282-%284%29%2Fz%5E2%2B%282%29%2Fz%5E4%29
Thank you. This question is from textbook Intoductery Algebra

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282-%284%29%2Fz%5E2%2B%282%29%2Fz%5E4%29
Let's add together what is under the radical first. LCD=z^4.
sqrt%28%282z%5E4-4z%5E2%2B2%29%2Fz%5E4%29
Pull out the Z^4 term in denominator:
%281%2Fz%5E2%29sqrt%282z%5E4-4z%5E2%2B2%29
Factor out a 2:
%281%2Fz%5E2%29sqrt%282%28z%5E4-2z%5E2%2B1%29%29
Factor:
%281%2Fz%5E2%29sqrt%282%28z%5E2-1%29%28z%5E2-1%29%29
Pull out the z^2-1 term:
%28%28z%5E2-1%29%2Fz%5E2%29sqrt%282%29
I think this is about as far as you can go.
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Good Luck,
tutor_paul@yahoo.com