Răspuns:
Explicație pas cu pas:
Salutare!
a)
[tex]\bf \dfrac{7}{2\sqrt{3} }- \dfrac{8}{3\sqrt{3} }=[/tex]
[tex]\bf \dfrac{7\cdot\sqrt{3}}{2\sqrt{3}\cdot\sqrt{3} }- \dfrac{8\cdot\sqrt{3}}{3\sqrt{3}\cdot\sqrt{3}}=[/tex]
[tex]\bf \dfrac{7\sqrt{3}}{2\cdot 3 }- \dfrac{8\sqrt{3}}{3\cdot3}=[/tex]
[tex]\bf \dfrac{7\sqrt{3}}{6 }- \dfrac{8\sqrt{3}}{9}=[/tex]
[tex]\bf \dfrac{7\cdot3\sqrt{3}-2\cdot 8\sqrt{3}}{18} =[/tex]
[tex]\bf \dfrac{21\sqrt{3}-16\sqrt{3}}{18} =[/tex]
[tex]\boxed{\bf \dfrac{5\sqrt{3}}{18}}[/tex]
b)
[tex]\bf \dfrac{\sqrt{5}-\sqrt{2} }{\sqrt{10} }=[/tex] [tex]\bf \dfrac{\sqrt{5}-\sqrt{2} }{\sqrt{10} }\cdot \bf \dfrac{\sqrt{10}}{\sqrt{10} }= \dfrac{(\sqrt{5}-\sqrt{2})\cdot\sqrt{10}}{\sqrt{10}\cdot{\sqrt{10} }}= \dfrac{\sqrt{50}-\sqrt{20} }{10}=\dfrac{5\sqrt{2}-2\sqrt{5} }{10}=[/tex]
[tex]\boxed{\bf \dfrac{5\sqrt{2}-2\sqrt{5} }{10}}[/tex]
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