Question

1) Racionalize os denominadores das frações: a) 1/√3
b)8/√2
c)√3/√11
d)5/3√10
e)7/3√5
f)1/√a​

Answer 1

Resposta:

a)  $\frac{\sqrt{3} }{3}$

b)  $\frac{8\sqrt{2} }{2}$

c)  $\frac{\sqrt{33} }{11}$

d)  $\frac{5\sqrt{10}}{10}$

e)  $\frac{7\sqrt{5}}{15}$

f)  $\frac{\sqrt{a}}{a}$

Explicação passo a passo:

a)  $\frac{1}{\sqrt{3}} * \frac{\sqrt{3} }{\sqrt{3}} = \frac{\sqrt{3} }{\sqrt{9} } = \frac{\sqrt{3} }{3}$

b)  $\frac{8}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{8\sqrt{2} } }{\sqrt{4} } = \frac{8\sqrt{2} }{2}$

c)  $\frac{\sqrt{3} }{\sqrt{11} } * \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{33}}{\sqrt{121}} = \frac{\sqrt{33} }{11}$

d)  $\frac{5}{3\sqrt{10}} * \frac{\sqrt{10}}{\sqrt{10}} = \frac{5\sqrt{10}}{3\sqrt{100}} = \frac{5\sqrt{10}}{3 * 10} = \frac{5\sqrt{10}}{10}$

e)  $\frac{7}{3\sqrt{5} } * \frac{\sqrt{5}}{\sqrt{5}} = \frac{7\sqrt{5}}{3\sqrt{25}} = \frac{7\sqrt{5}}{3 * 5} = \frac{7\sqrt{5}}{15}$

f)  $\frac{1}{\sqrt{a} } *\frac{\sqrt{a} }{\sqrt{a} } = \frac{\sqrt{a} }{\sqrt{a^{2}}} = \frac{\sqrt{a}}{a}$

Espero ter ajudado!