2008
Mathematics
67ca00ce0c643c71d77dee1f
If (1+√2)/(1-√2) is expressed in the form of x+y√2 find the values of x and y
A.
(-3, -2)
B.
. (-2, 3)
C.
(3,2)
D.
(2,-3)
Correct Answer: (-3, -2)
Explanation
(1+√2)/(1-√2) × (1+√2)/(1+√2) = (1+(1+√2)+√2(1+√2))/(12-(√2 )2 )=((1+√2+√2+2))/(1-2)=(3+2√2)/(-1)=-3-2√2∴XandY=-3and-2
(1+√2)/(1-√2) × (1+√2)/(1+√2) = (1+(1+√2)+√2(1+√2))/(12-(√2 )2 )=((1+√2+√2+2))/(1-2)=(3+2√2)/(-1)=-3-2√2∴XandY=-3and-2THIS WEEK's
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