2006
Mathematics
67ca00ce0c643c71d77dee1f
Evaluate 2/(6-5√3)
A.
-(12/39-(10√3)/39)
B.
12/39-(10√3)/39
C.
-(12/39+(10√3)/39)
D.
12/39+(10√3)/39
Correct Answer: -(12/39+(10√3)/39)
Explanation
2/(6-5√3)=2/(6-5√3)×(6+5√3)/(6+5√3)=(2(6+5√3))/((6-5√3)(6+5√3))=(12+10-√3)/(36-25(3))=(12+10-√3)/(36-75)=(12+10-√3)/(-39)=-(12/39-(10√3)/39)
2/(6-5√3)=2/(6-5√3)×(6+5√3)/(6+5√3)=(2(6+5√3))/((6-5√3)(6+5√3))=(12+10-√3)/(36-25(3))=(12+10-√3)/(36-75)=(12+10-√3)/(-39)=-(12/39-(10√3)/39)THIS WEEK's
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