2022
Mathematics
JAMB
Simplify 1/(3−√2) in the form of p + q√2
A.
7/(3 - 1/7√2)
B.
7/(3 + 1/7√2)
C.
3/(7 - 1/7√2)
D.
3/(7 + √2/7)
Correct Answer: 3/(7 + √2/7)
Explanation
Rationalization with conjugate 3+√2 1/3−√2 → 1∗[3+√2]/[3−√2][3+√2] = 3+√2/(9−3√2+3√2+√4) = 3+√2/9−2 → 3+√2/7 = 3/7 + √2/7
Rationalization with conjugate 3+√2 1/3−√2 → 1∗[3+√2]/[3−√2][3+√2] = 3+√2/(9−3√2+3√2+√4) = 3+√2/9−2 → 3+√2/7 = 3/7 + √2/7THIS WEEK's
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