Question

qual é o numero inteiro que voce obtem quando simplifica a expressao 3raiz 10-raiz 10 sobre raiz 10-3?
                                                                                                                                                        

Answer 1

$<var>3\sqrt{10}-\frac{\sqrt{10}}{\sqrt{10}-3}=\frac{3\sqrt{10}\cdot(\sqrt{10}-3)-\sqrt{10}}{\sqrt{10}-3}}=</var>$

 

 

$<var>\frac{3\sqrt{10}\cdot(\sqrt{10}-3)-\sqrt{10}}{\sqrt{10}-3}}=\frac{30-9\sqrt{10}-\sqrt{10}}{\sqrt{10}-3}=</var>$ 

 

 

$<var>\frac{30-9\sqrt{10}-\sqrt{10}}{\sqrt{10}-3}=\frac{30-10\sqrt{10}}{\sqrt{10}-3}=</var>$ 

 

$<var>\frac{30-10\sqrt{10}}{\sqrt{10}-3}\cdot \frac{\sqrt{10}+3}{\sqrt{10+3}}=\frac{30\sqrt{10}+90-100-30\sqrt{10}}{1}=-10</var>$ 

Answer 2

 

 

 

  3V10 - V10

     V10 - 3

 

 

     2V10( V10 + 3)   

 (V10 - 3)(V10 + 3)

            

2V10.10 + 6V10

   (V10)^2 - 9

 

 2.10 + 6V10 

    10 - 9

 

2(10 + 3V10 )