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AJUTOR DAU 99 DE PUNCTE!!!!!!!!!
a)(√8-√2)puterea 20
b)(√3-√12)puterea 16
SCRIETI SI CUM ATI REZOLVAT!!!


Răspuns :

(√8-√2)la puterea 20
(2√2-√2) la ............20
2 la puterea 20
(√3-√12) la puterea 16
(√3-2√3)la puterea 16
-2 la puterea 16=2 la puterea 16
[tex](\sqrt8-\sqrt2)^{20}=(2\sqrt2-\sqrt2)^{20}=(1\sqrt2)^{20}=1^{20} \cdot 2 ^{\frac{20}{2}}=1 \cdot 2^{10}=\bold{1 \ 024}; \\ (\sqrt3-\sqrt{12})^{16}=(\sqrt3-2\sqrt3)^{16}=(-\sqrt3)^{16}=3^{\frac{16}{2}}=3^8=\bold{6 561.}[/tex]