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Formula radicalilor compusi(clasa 7)

Răspuns :

Avem urmatorul radical de forma:
[tex] \sqrt{a+\sqrt{b}} \\ a = a \\ b = b \\ c = \sqrt{a^2-b}[/tex]

Atunci avem formula radicalilor compusi:
[tex]\sqrt{a+\sqrt{b}}=\sqrt{\frac{a+c}{2}}+\sqrt{\frac{a-c}{2}}[/tex]
Daca avem radicalul acesta:
[tex] \sqrt{a-\sqrt{b}} [/tex]

Formula radicalilor compusi este aceasta:
[tex]\sqrt{a-\sqrt{b}}=\sqrt{\frac{a+c}{2}}-\sqrt{\frac{a-c}{2}}[/tex]


[tex] \sqrt{A+ \sqrt{B}}= \sqrt\frac{A+C}{2}+ \sqrt\frac{A-C}{2}

\sqrt{A- \sqrt{B}}= \sqrt\frac{A+C}{2}- \sqrt\frac{A-C}{2}


unde C^{2}=A^{2}-B[/tex]