Question

1-racionaze
A) 8 / √12
B) 6√2 / 2√6
C) 4√2 / √10

Answer 1

a) (8 x √12)/12 = 8√12/12 = 2√12/3 = 4√3/3
b) (6√2 x √6)/2 x 6 = 6√12/12 = √12/2 = 2√12/2 = √12
c) (4√2 x √10)/10 = 4√20/10 = 8√5/10 = 4√5/5

Answer 2

$\frac{8}{ \sqrt{12} }. \frac{ \sqrt{12} }{ \sqrt{12} }= \frac{8 \sqrt{12} }{( \sqrt{12})^2 } = \frac{8 \sqrt{12} }{12}= \frac{2 \sqrt{12} }{3}$=$\frac{2 \sqrt{2^2.3} }{3}= \frac{4 \sqrt{3} }{3}$

$\frac{6 \sqrt{2} }{2 \sqrt{6} }= \frac{3 \sqrt{2} }{ \sqrt{6} }. \frac{ \sqrt{6} }{ \sqrt{6} }= \frac{3 \sqrt{12} }{( \sqrt{6})^2 }= \frac{3 \sqrt{12} }{6}= \frac{ \sqrt{12} }{2}$=$\frac{ \sqrt{2^2.3} }{2} = \frac{2 \sqrt{3} }{2}= \sqrt{3}$

$\frac{4 \sqrt{2} }{ \sqrt{10} }. \frac{ \sqrt{10} }{ \sqrt{10}}= \frac{4 \sqrt{20} }{( \sqrt{10})^2 }= \frac{4 \sqrt{20} }{10}= \frac{2 \sqrt{20} }{ {5} }$=$\frac{2 \sqrt{2^2.5} }{5}= \frac{4 \sqrt{5} }{5}$