Question

6. Fie expresia E = |1-✔3| + (✔72-✔288):✔2 - 1 ✔12.
2
a)Aduceti al forma cea mai simplă expresia E.​

Answer 1

Răspuns:

$|1 - \sqrt{3} | = \sqrt{3} - 1$

$\sqrt{72} = \sqrt{2 \times 36} = 6 \sqrt{2}$

$\sqrt{288} = \sqrt{2 \times 144} = 12 \sqrt{2}$

$\sqrt{12} = \sqrt{3 \times 4} = 2 \sqrt{ 3}$

$e = \sqrt{3} - 1 + 6 - 12 - 2 \sqrt{3}$

$e = - 7 - \sqrt{3} = - ( \sqrt{3} + 7)$