How do you rationalize (sqrt3-1) /(sqrt3+1)?

2 Answers
Gió
May 9, 2015

Multiply and divide by sqrt(3)-1 and get:
(sqrt(3)-1)/(sqrt(3)+1)*(sqrt(3)-1)/(sqrt(3)-1)=(sqrt(3)-1)^2/(3-1)=(sqrt(3)-1)^2/2=(3-2sqrt(3)+1)/2=(4-2sqrt(3))/2=2(2-sqrt(3))/2=2-sqrt(3)

Nghi N.
May 9, 2015

(sqr3 - 1)/(sqr3 + 1). (sqr3 - 1)/(sqr3 - 1) = (sqr3 - 1)^2/2

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