Question

100 PUNCTE URGENT DAU SI INIMA 5 STELE SI COROANA,URGENT​

Answer 1

Răspuns: $\bf \dfrac{9\sqrt{3}-11\sqrt{2}}{2}$

Explicație pas cu pas:

Salutare!

$\bf \dfrac{5}{6\sqrt{3}+7\sqrt{2} }- \dfrac{1}{2\sqrt{3}+2\sqrt{2} }- \dfrac{1}{5\sqrt{2}+4\sqrt{3} }=$

• Rationalizam numitorii fractiilor

$\bf \dfrac{6\sqrt{3}-7\sqrt{2}}{2}- \dfrac{2\sqrt{3}-2\sqrt{2} }{4}- \dfrac{5\sqrt{2}-4\sqrt{3}}{2}=$

• Dam factor comun 2

$\bf \dfrac{6\sqrt{3}-7\sqrt{2}}{2}- \dfrac{2\cdot(\sqrt{3}-2\sqrt{2}) }{4}- \dfrac{5\sqrt{2}-4\sqrt{3}}{2}=$

$\bf \dfrac{6\sqrt{3}-7\sqrt{2}}{2}- \dfrac{\not2\cdot(\sqrt{3}-2\sqrt{2}) }{\not4}- \dfrac{5\sqrt{2}-4\sqrt{3}}{2}=$

$\bf \dfrac{6\sqrt{3}-7\sqrt{2}}{2}- \dfrac{\cdot\sqrt{3}-2\sqrt{2} }{2}- \dfrac{5\sqrt{2}-4\sqrt{3}}{2}=$

$\bf \dfrac{6\sqrt{3}-7\sqrt{2}-(\sqrt{3}-2\sqrt{2})-(5\sqrt{2}-4\sqrt{3})}{2}=$

$\bf \dfrac{6\sqrt{3}-7\sqrt{2}-\sqrt{3}+2\sqrt{2}-5\sqrt{2}+4\sqrt{3}}{2}=$

$\boxed{\bf \dfrac{9\sqrt{3}-11\sqrt{2}}{2}}$

⊱─────✧pav38✧─────⊰

Answer 2

Bună ! (✷‿✷)

Răspuns:

$\dfrac{9\sqrt{3} - 11\sqrt{2} }{2} =$

Explicație pas cu pas:

• raționalizăm

$\dfrac{6\sqrt{3}-7\sqrt{2} }{2} - \dfrac{2\sqrt{3}-2\sqrt{2} }{4} - \dfrac{5\sqrt{2}-4\sqrt{3} }{2} =$

$\dfrac{6\sqrt{3}-7\sqrt{2} }{2} - \dfrac{2(\sqrt{3}-\sqrt{2}) }{4} - \dfrac{5\sqrt{2}-4\sqrt{3} }{2} =$

$\dfrac{6\sqrt{3}-7\sqrt{2} }{2} - \dfrac{\sqrt{3}-\sqrt{2} }{2} - \dfrac{5\sqrt{2}-4\sqrt{3} }{2} =$

$\dfrac{9\sqrt{3} - 11\sqrt{2} }{2} =$