Question

5) Racionalize os denominadores:
a) 3/v7
b) 1/v13
c) 3/2v3
d) 12/v3​

Answer 1

Explicação passo-a-passo:

a)

$\frac{3}{ \sqrt{7} } = \frac{3 \sqrt{7} }{ \sqrt{7}. \sqrt{7} } = \frac{3 \sqrt{7} }{7}$

b)

$\frac{1}{ \sqrt{13} } = \frac{1 \sqrt{13} }{ \sqrt{13}. \sqrt{13} } = \frac{ \sqrt{13} }{13}$

c)

$\frac{3}{2 \sqrt{3} } = \frac{3.2 \sqrt{3} }{2 \sqrt{3}.2 \sqrt{3} } = \frac{6 \sqrt{3} }{12} = \frac{ \sqrt{3} }{2}$

d)

$\frac{12}{ \sqrt{3} } = \frac{12 \sqrt{3} }{ \sqrt{3}. \sqrt{3} } = \frac{12 \sqrt{3} }{3} = 4 \sqrt{3}$