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MATHEMATICS

JAMB 2022 - Question 36

Mathematics 2022 JAMB Past Questions - Question 36: Simplify 1/3-√2 in the form of p + q√2

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

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Correct Answer

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