JAMB Mathematics 2008 Objective — Question 9

Question 9 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

If (1+sqrt2)/(1-sqrt2) is expressed in the form x + y sqrt2, find the values of x and y

A. (-3, -2)Correct
B. (-2, 3)
C. (3, 2)
D. (2, -3)

Explanation

Multiplying numerator and denominator by the conjugate (1+sqrt2): (1+sqrt2)^2 / (1-2) = (1+2sqrt2+2)/(-1) = -3-2sqrt2. So x=-3, y=-2.

Sign up free to unlock

Score tracking
Practice history
Saved questions
Progress dashboard
Personalized sessions
Weak-topic breakdown

…and/or go further with premium services and No Ads.

Create free account

More questions from Mathematics 2008 Objective More Mathematics past papers