Oblicz:
(3+2√3)(2√3+3) 6√3+9+12+6√3 12√3+21 3(4√3+7)
--------------------- = ---------------- = --------------- = ------------ = 4√3+7
(2√3-3)(2√3+3) 12-9 3 3
(3+2V3)/(2V3-3) * (2V3+3)/(2V3+3) = (3+2V3)^2 /(12-9) = (9+12V3+12)/3 =
= (12V3+21)/3 = 4V3+7
(V - pierwiastek kwadratowy)
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(3+2√3)(2√3+3) 6√3+9+12+6√3 12√3+21 3(4√3+7)
--------------------- = ---------------- = --------------- = ------------ = 4√3+7
(2√3-3)(2√3+3) 12-9 3 3
(3+2V3)/(2V3-3) * (2V3+3)/(2V3+3) = (3+2V3)^2 /(12-9) = (9+12V3+12)/3 =
= (12V3+21)/3 = 4V3+7
(V - pierwiastek kwadratowy)