Rationalize (√2+√3)/(√2-√3)

Rationalize (√2+√3)/(√2-√3)

A. −5–2√6
B. −5+3√2
C. 5–2√3
D. 5+2√6

Correct Option: Answer is B

Solution:
= (√2+√3)/(√2-√3)
=(√2+√3)/(√2-√3) {((√2+√3)/(√2-√3))((√2+√3)/(√2+√3))}
= (2+ √6+√6+3)/(2-√6+√6-3)
= (5 +√6)/(-1) = -5-2√6

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