:(3√3+3/2) ÷ (3√3-3/2)
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(3√3+3√2)/(3√3-3√2)
=(3√3+3√2)/(3√3-3√2)×(3√3-3√2)/(3√3-3√2)
=(3√3)²-(3√2)²/(3√3-3√2)²
=(3×3×3)-(3×3×2)/(3√3)²+(3√2)²-2(3√3)(3√2)
=(27-18)/(27+18-18√9)
=9/(45-18√9)
=9/9(5-2√9)
=1/(5-2√9)
=1/(5-2√9)×(5+2√9)/(5+2√9)
=(5+2√9)/(5)²-(2√9)²
=(5+2√9)/(25-36)
=(5+2√9)/(-9)
=-(5+2√9)/9
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