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Bblacklie1
a fost răspuns

Calculati :
[tex] \sqrt{14+3 \sqrt{3} } - \sqrt{14-3 \sqrt{3} } [/tex]
si
[tex] -\sqrt{3} (2+ \sqrt{3} )[/tex]

Răspuns :

Renatemambouko
√(14+3√3)=√(14+√27)=√(14+√196-27)/2+√(14-√196-27)/2=
=√(14+√169)/2+√(14-√169)/2=√(14+13)/2+√(14-13)/2=
=√27/2+√1/2=3√3/2+√1/2=

√(14-3√3)=√(14-√27)=√(14+√196-27)/2-√(14-√196-27)/2=
=√(14+√169)/2-√(14-√169)/2=√(14+13)/2-√(14-13)/2=
=√27/2-√1/2=3√3/2+√1/2=

√(14+3√3)+√(14-3√3)=3√3/2+√1/2+3√3/2-√1/2=6√3/2=3√6

-√3(2+√3)=-2√3-3







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