Question

5.Calculează media geometrică a următoarelor numere raționale:​

Answer 1

Răspuns:

Explicație pas cu pas:

a) mg²=10/3·15/2=10/2·15/3=5·5   ⇒mg=5

b) mg²=14/5·35/2=14/2·35/6=7·7=7²   ⇒mg=7

c)mg²=20/3·12/5=20/5·12/3=4·4=4²   ⇒mg=4

d)mg²=15/7·21/5=15/5·21/7=3·3=3²   ⇒mg=3

Answer 2

$\it a)\ \ m_g=\sqrt{\dfrac{10}{3}\cdot\dfrac{15}{2}}=\sqrt{\dfrac{150}{6}}=\sqrt{25}=5\\ \\ \\ b)\ \ m_g=\sqrt{\dfrac{14}{5}\cdot\dfrac{35}{2}}=\sqrt{\dfrac{490}{10}}=\sqrt{49}=7\\ \\ \\ c)\ \ m_g=\sqrt{\dfrac{20}{3}\cdot\dfrac{12}{5}}=\sqrt{\dfrac{240}{15}}=\sqrt{16}=4$