Question

racionalize o denominador das frações

URGENTE, ME AJUDE ​

Answer 1

Explicação passo-a-passo:

A)

$\dfrac{8}{ \sqrt{3} }$

$\dfrac{8}{ \sqrt{3} } \times \dfrac{ \sqrt{3} }{ \sqrt{3} }$

$\dfrac{8 \sqrt{3} }{ \sqrt{3 \times 3} }$

$\dfrac{8 \sqrt{3} }{ \sqrt{9} }$

=>8√3/3

B)

$\dfrac{5 \sqrt{2} }{ \sqrt{6} }$

$\dfrac{5 }{ \sqrt{3} }$

$\dfrac{5}{ \sqrt{3} } \times \dfrac{ \sqrt{3} }{ \sqrt{3} }$

$\dfrac{5 \sqrt{3} }{ \sqrt{3 \times 3} }$

$\dfrac{5 \sqrt{3} }{ \sqrt{9} }$

=>5√3/3

C)

$\dfrac{3}{ \sqrt{2} }$

$\dfrac{3}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }$

$\dfrac{3 \sqrt{2} }{ \sqrt{2 \times 2} }$

$\dfrac{3 \sqrt{2} }{ \sqrt{4} }$

=>3√2/2

D)

$\dfrac{1}{ \sqrt{5} }$

$\dfrac{1}{ \sqrt{5} } \times \dfrac{ \sqrt{5} }{ \sqrt{5} }$

$\dfrac{1 \times \sqrt{5} }{ \sqrt{5 \times 5} }$

$\dfrac{ \sqrt{5} }{ \sqrt{25} }$

=>√5/5

E)

$\dfrac{5 }{ \sqrt{14} }$

$\dfrac{5}{ \sqrt{14} } \times \dfrac{ \sqrt{14} }{ \sqrt{14} }$

$\dfrac{5 \sqrt{14} }{ \sqrt{14 \times 14} }$

$\dfrac{5 \sqrt{14} }{ \sqrt{196} }$

=>5√14/14

F)

$\dfrac{12}{ \sqrt{6} }$

$\dfrac{12}{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} }$

$\dfrac{12 \sqrt{6} }{ \sqrt{6 \times 6} }$

$\dfrac{12 \sqrt{6} }{ \sqrt{36} }$

$\dfrac{12 \sqrt{6} }{6}$

=>2√6