passpadi

2019

Mathematics

JAMB

Rationalize (√2+√3)/(√2-√3)

A.

−5−2√6

B.

−5 + 3√2

C.

5 − 2√3

D.

5 + 2√6

Correct Answer: −5−2√6

Explanation

(√2+√3)/(√2-√3) = ((√2+√3)/(√2-√3))((√2+√3)/(√2+√3)) = (2+√6+√6+3)/(2-√6+√6-3) = 5 + 2√6/−1 = = −5 − 2√6

(√2+√3)/(√2-√3) = ((√2+√3)/(√2-√3))((√2+√3)/(√2+√3)) = (2+√6+√6+3)/(2-√6+√6-3) = 5 + 2√6/−1 = = −5 − 2√6
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