2019
Mathematics
67ca00ce0c643c71d77dee1f
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√6THIS WEEK's
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