SOLUTION: which choice is equivalent to the fraction below? Hint: rationalize the denominator and simplify. 2-2√2/2+2√2 a. 1-√2 b. -3+2√2 c. 2+√2 d. 2-

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: which choice is equivalent to the fraction below? Hint: rationalize the denominator and simplify. 2-2√2/2+2√2 a. 1-√2 b. -3+2√2 c. 2+√2 d. 2-      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 145443: which choice is equivalent to the fraction below? Hint: rationalize the denominator and simplify.
2-2√2/2+2√2
a. 1-√2
b. -3+2√2
c. 2+√2
d. 2-√2

Answer by edjones(7569) About Me  (Show Source):
You can put this solution on YOUR website!
2-2√2/2+2√2
=2(1-sqrt(2))/2(1+sqrt(2))
=(1-sqrt(2))/(1+sqrt(2))
=
=(1-sqrt(2))^2/(1-2)
=(1-2sqrt(2)+2)/-1
=-3+2sqrt(2)
.
Ed