Question

Exercitiul 11 subpunctul c va rog

Answer 1

Rezolvarea completă, verifică daca este corect.

Answer 2

$\it0,1(6) = \dfrac{16-1}{90} =\dfrac{\ \ 15^{(15}}{90} = \dfrac{1}{6}$

$\it\sqrt{0,1(6)} = \sqrt{\dfrac{1}{6}} = \dfrac{1}{\sqrt6}$


Expresia devine:

[tex]\it \dfrac{12}{7} \cdot \left(\dfrac{^{2)}1}{\sqrt6}-\dfrac{^{2)}5}{\sqrt6}+\dfrac{1}{2\sqrt6}\right) = \dfrac{12}{7} \cdot \left(\dfrac{2-10+1}{2\sqrt6}\right) = \dfrac{12}{7} \cdot \left(\dfrac{-7}{2\sqrt6}\right) = \\\;\\ \\\;\\ = -\dfrac{12}{2\sqrt6} =-\dfrac{6}{\sqrt6} =-\dfrac{6\sqrt6}{6} = -\sqrt6[/tex]