2004
Mathematics
67ca00ce0c643c71d77dee1f
Simplify 1/√3+2 in the form a+b√3
A.
2 -√3
B.
-2 - √3
C.
2 + √3
D.
-2 + √3
Correct Answer: 2 -√3
Explanation
1/(√3+2) 1/(√3+2)=1/(√3+2)×(√3-2)/(√3-2)=(√3-2)/((√3 )^2-2^2 )=(√3-2)/(3-4)=(√3-2)/1=-√3+2=2-√3
1/(√3+2) 1/(√3+2)=1/(√3+2)×(√3-2)/(√3-2)=(√3-2)/((√3 )^2-2^2 )=(√3-2)/(3-4)=(√3-2)/1=-√3+2=2-√3THIS WEEK's
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