Question

Racionalize as equações do 2 grau:
a) 12 sobre raiz de 3
b) raiz de 2 sobre s raiz de 5

Answer 1

12/√3 x √3/√3 = 12√3/3 = 4√3

√2/√5 x √5/√5 = √2.√5/5 = √10/5

Answer 2

$\frac{12}{ \sqrt{3} } = \frac{12 \sqrt{3} }{ \sqrt{3}. \sqrt{3} } = \frac{12 \sqrt{3} }{ \sqrt{3^2} } = \frac{\not12^4 \sqrt{3} }{\not3} =4 \sqrt{3} \\ \\ \\ \frac{ \sqrt{2} }{ \sqrt{5} } = \frac{ \sqrt{2}. \sqrt{5} }{ \sqrt{5}. \sqrt{5} } = \frac{ \sqrt{2.5} }{ \sqrt{5^2} } = \frac{ \sqrt{10} }{5}$