Question

racionalize o denominador de cada uma das expressões ​

Answer 1

a)

$\frac{\sqrt{3}+\sqrt{5} }{\sqrt{3} }=$

$\frac{\sqrt{3}+\sqrt{5} }{\sqrt{3} }\cdot \frac{\sqrt{3} }{\sqrt{3} } =$

$\frac{3+\sqrt{15} }{3}$

b)

$\frac{\sqrt{6}-2 }{\sqrt{5}+\sqrt{2} }=$

$\frac{\sqrt{6}-2 }{\sqrt{5}+\sqrt{2} }\cdot \frac{\sqrt{5}-\sqrt{2} }{\sqrt{5}-\sqrt{2} } =$

$\frac{\sqrt{30}-\sqrt{12}-2\sqrt{5}+2\sqrt{2} }{5-2}=$

$\frac{\sqrt{30}-\sqrt{4\cdot 3}-2\sqrt{5}+2\sqrt{2} }{3}=$

$\frac{\sqrt{30}-2\sqrt{ 3}-2\sqrt{5}+2\sqrt{2} }{3}$