Question

Racionalize o denominador de cada expressão a seguir
me ajudem

Answer 1

a) $\frac{1-\sqrt{3} }{\sqrt{3} }=\frac{(1-\sqrt{3}).\sqrt{3}}{\sqrt{3}.\sqrt{3}}=\frac{\sqrt{3}-3}{3}$

b) $\frac{3-\sqrt{2}}{\sqrt{2}}=\frac{(3-\sqrt{2}).\sqrt{2}}{\sqrt{2}.\sqrt{2} }=\frac{3\sqrt{2}-2 }{2}$

c) $\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}}=\frac{(\sqrt{5}+\sqrt{2}).\sqrt{5} }{\sqrt{5}.\sqrt{5}}=\frac{5+\sqrt{2}.\sqrt{5}}{5}=\frac{5+\sqrt{10} }{5}$

d) $\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}}=\frac{(\sqrt{3}-\sqrt{2}).\sqrt{3}}{\sqrt{3}.\sqrt{3}}=\frac{3-\sqrt{2}.\sqrt{3}}{3}=\frac{3-\sqrt{6}}{3}$

e) $\frac{2+\sqrt{2} }{\sqrt{2}}=\frac{(2+\sqrt{2}).\sqrt{2}}{\sqrt{2}.\sqrt{2}}=\frac{2\sqrt{2}+2}{2}$

f) $\frac{1+\sqrt{2}}{\sqrt{5}}=\frac{(1+\sqrt{2}).\sqrt{5}}{\sqrt{5}.\sqrt{5}}=\frac{\sqrt{5}+\sqrt{2}.\sqrt{5} }{5}=\frac{\sqrt{5}+\sqrt{10}}{5}$