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-
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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(8007) (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
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