Question

-2raiz quadrada de 3(5-raiz quadrada de tres)=

Answer 1

Seja $\text{x}=(-2\sqrt{3})\times(5-\sqrt{3})$

 

Desta maneira:

 

$\text{x}=-10\sqrt{3}+2\sqrt{9}$

 

$\text{x}=-10\sqrt{3}+2\cdot3$

 

$\text{x}=6-10\sqrt{3}$

Answer 2

Aplicando a distributiva: a(b + c) = a x b + a x c

 

 Temos,

 

$- 2\sqrt{3}(5 - \sqrt{3}) = \\\\ - 2\sqrt{3} \times 5 - 2\sqrt{3} \times - \sqrt{3} = \\\\ - 10\sqrt{3} + 2\sqrt{9} = \\\\ - 10\sqrt{3} + 2 \times 3 = \\\\ \boxed{6 - 10\sqrt{3}}$