Question

simplifique a espressão raiz de 20 + raiz de 500+ raiz de 8 - raiz de 45??

Answer 1

raiz(20)+raiz(500)+raiz(8)-raiz(45)

 

raiz(4.5)+raiz(5.100)+raiz(4.2)-raiz(9.5)

 

2.raiz(5)+10.raiz(5)+2.raiz(2)-3.raiz(5)

 

9.raiz(5)++2.raiz(2)

Answer 2

$\sqrt{20} + \sqrt{500} + \sqrt{8} - \sqrt{45} = \\\\ \sqrt{4 \times 5} + \sqrt{100 \times 5} + \sqrt{4 \times 2} - \sqrt{9 \times 5} = \\\\ \sqrt{2^2 \times 5} + \sqrt{10^2 \times 5} + \sqrt{2^2 \times 2} - \sqrt{3^2 \times 5} = \\\\ 2\sqrt{5} + 10\sqrt{5} + 2\sqrt{2} - 3\sqrt{5} = \\\\ \sqrt{5}(2 + 10 - 3) + 2\sqrt{2} = \\\\ \boxed{9\sqrt{5} + 2\sqrt{2}}$