... EMBED Equation.3 ! EMBED Equation.3 , ae0, EMBED Equation.3 , EMBED Equation.3 ! EMBED Equation.3 , a0, EMBED Equation.3 , EMBED Equation.3 !, EMBED Equation.3 EMBED Equation.3 .Puteri cu exponent rational negativ EMBED Equation.3 , a0, EMBED Equation.3 !restul proprietatilor se pastreaza.Functia putere cu exponent natural nenul fxxn, fRR, nNmonotonia EMBED Equation.3 paritate EMBED Equation.3 semn EMBED Equation.3 .Functia putere cu exponent intreg negativ fxx-n, fR-I0SR, nNmonotonia EMBED Equation.3 paritate EMBED Equation.3 semn EMBED Equation.3 .Functia putere cu exponent rationalfx EMBED Equation.3 EMBED Equation.3 , f0, !0, , EMBED Equation.3 !daca EMBED Equation.3 0 ! f strict crescatoare daca EMBED Equation.3 0 ! f strict descrescatoare.Radicalul unui numar pozitivecuatia xn-a0 nN, n2, aR, a0 are o singura radacina reala pozitivadaca a0, nN, n2 se numeste radical de ordin n din a, numarul pozitiv a carui putere a n-a este anotatie x EMBED Equation.3 notatie EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 0 EMBED Equation.3 Radicalul de ordin impar al unui numar negativecuatia xn-a0 nN, n2, n impar, aR, a0 are o singura radacina reala negativadaca a0, nN, n2, n impar, se numeste radical de ordin n din a, numarul negativ a carui putere a n-a este anotatie x EMBED Equation.3 EMBED Equation.3 Proprietatile radicalilor m, n, k!, m, n, ke2P1 EMBED Equation.3 , a,be0P2 EMBED Equation.3 , ae0, b0P3 EMBED Equation.3 , ae0P4 EMBED Equation.3 m EMBED Equation.3 , ae0P5 EMBED Equation.3 EMBED Equation.3 , ae0P6 EMBED Equation.3 , ae0.Operatii cu radicaliscoaterea unui factor de sub semnul radical se descompune numarul de sub radical in factori, se aplica proprietatile 1, 3 si 5introducerea unui factor sub semnul radical se utilizeaza proprietatile 1, 3 si 5inmultirea radicalilor de acelasi ordin sau ordine diferite se utilizeaza proprietatea 1 si 5 EMBED Equation.3 , a1, a2, , ake0 EMBED Equation.3 , a, be0impartirea radicalilor de acelasi ordin sau ordine diferite se utilizeaza proprietatile 2 si 5 EMBED Equation.3 , ae0, b0 EMBED Equation.3 , ae0, b0rationalizarea numitoriloroperatia de eliminare a radicalilor de la numitorul fractiilorexpresii conjugate - expresii cu radicali care prin inmultire dau o expresie fara radicali EMBED Equation.3 , a, be0 EMBED Equation.3 , a, be0 EMBED Equation.3 , a, be0 EMBED Equation.3 , a, be0, n imparFunctia radicalfx EMBED Equation.3 , fi0, i0, , nN, n2monotonia f strict crescatoare pe i0, fx0 xi0, functia este bijectivainversa ei este functia putere.fx EMBED Equation.3 , fRR, nN, n2, n imparEcuatii irationaleecuatii care contin necunoscuta sub semnul radicalrezolvarea consta in eliminarea radicalilor prin diferite transformari ridicari la putere cu ordinul radicalului, inmultire cu expresia conjugata, reducandu-le la ecuatii studiateconditii de existenta numai pentru radicali de ordin par EMBED Equation.3 fxe0 unde fx este o expresie in functie de x EMBED PBrush EMBED PBrush EMBED PBrush EMBED PBrush EMBED PBrush EMBED PBrush .0jnpàaDFJLNPTVthjnpxz...
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