Question

cine mă poate ajuta!? este urgent!
$\frac{5}{24} \div ( \frac{2}{9} - \frac{1}{6}) - 2 \frac{1}{3} \times 1 \frac{3}{7} =$
2 calculați mg a numerelor a=
$|2 - \sqrt[2]{3} |$
și b=
$2 + \sqrt[2]{3}$

​

Answer 1

$\it \dfrac{5}{24}:\Big( \dfrac{^{2)}2}{\ 9}- \dfrac{^{3)}1}{\ 6}\Big)-2\dfrac{1}{3}\cdot1\dfrac{3}{7}= \dfrac{5}{\not24\ _4}\cdot \dfrac{\not18\ ^3}{1}- \dfrac{\not7}{3}\cdot \dfrac{10}{\not7}=\\ \\ \\ = \dfrac{^{3)}15}{\ 4}- \dfrac{^{4)}10}{\ 3}= \dfrac{45-40}{12}= \dfrac{5}{12}$

____________________________________________________

$\bf 4 > 3 \Rightarrow \sqrt4 > \sqrt3 \Rightarrow 2 > \sqrt3 \Rightarrow 2-\sqrt3 > 0 \Rightarrow |2-\sqrt3|=2-\sqrt3\\ \\ a=2-\sqrt3,\ \ \ b=2+\sqrt3\\ \\ m_g=\sqrt{a\cdot b}=\sqrt{(2-\sqrt3)(2+\sqrt3)}=\sqrt{2^2-(\sqrt3)^2}=\sqrt{4-3}=\sqrt1=1$