Which of the following is equal to [1/(√3-√2)]2?
A. 1B. 5
C. √6
D. 5 - √6
E. 5 + 2√6
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6 comments:
ans is 5+2sqrt6
1/(SQRT3-SQRT2)^2
=1/(3+2-2SQRT6)
=1/(5-2SQRT6)
NOW MUL AND DIVIDE WITH 5+2SQRT6
WHICH IS
(5+2SQRT6)/(5SQR-4(6))
=(5+2SQRT6)/(25-24)
=5+2SQRT6
ans is e
Ans is E
just multiply top and bottom by (√3+√2) first, then bottom is simplified to (√3+√2)(√3-√2)=1. for the numerator, the square of (√3+√2) is easily solved to give 5+2√6, answer E.
ans is E
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