2014
Mathematics
JAMB
Simplify (2√2-√3)/(√2+√3)
A.
3√6-7
B.
3√6-+7
C.
3√6-1
D.
3√6+1
Correct Answer: 3√6-7
Explanation
=(2√2-√3)/(√2+√3) × (√2-√3)/(√2-√3) =(2√2(√2)+(2√2)(-√3)-√3(√2)-√3(-√3))/((√2 )2-(√3 )2) =(2×2-2√6-√6+3)/(2-3) = 4−3√6+3/(−1) =7−3√6/−1 =7/−1 − 3√6/−1 =-7 + 3√6 = 3√6 - 7
=(2√2-√3)/(√2+√3) × (√2-√3)/(√2-√3) =(2√2(√2)+(2√2)(-√3)-√3(√2)-√3(-√3))/((√2 )2-(√3 )2) =(2×2-2√6-√6+3)/(2-3) = 4−3√6+3/(−1) =7−3√6/−1 =7/−1 − 3√6/−1 =-7 + 3√6 = 3√6 - 7THIS WEEK's
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