10 uždavinys
Sprendimas:
saknis(3,
2017* saknis(3,2017)) =
2017* saknis(3,2017)) = |
|
saknis(3, 2017* saknis(3,2017)) = $$\sqrt[3]{2017\cdot \sqrt[3]{2017}}$$ =
2017* saknis(3,2017)) = $$\sqrt[3]{2017\cdot \sqrt[3]{2017}}$$ = saknis(3, 2017* 2017^(1/3)) = $$\sqrt[3]{2017\cdot 2017^{(1/3)}}$$ =
2017* 2017^(1/3)) = $$\sqrt[3]{2017\cdot 2017^{(1/3)}}$$ = saknis(3, 2017^(4/3)) = $$\sqrt[3]{2017^{(4/3)}}$$ =
2017^(4/3)) = $$\sqrt[3]{2017^{(4/3)}}$$ = 2017^(4/3*1/3) = $$2017^{(4/3*1/3)}$$ =
2017^(4/9)$$2017^{(4/9)}$$
Atsakymas: C