if a = 1/2+ √3 and b = 1/2 - √3, then find a² + b²- ab
plz answer me ASAP
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Answer:
Step-by-step explanation:
a=1/(2+√3)=(2-√3)/((2+√3)(2-√3))=(2-√3)/(4-3)=2-√3
b=1/(2-√3)=(2+√3)/((2-√3)(2+√3))=(2+√3)/(4-3)=2+√3
a²+b²-ab=(2-√3)²+(2+√3)²-(2-√3)(2+√3)
=2(2²+√3²)-2²-√3²
=2×7-1
=14-1
=13
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