Question

Racionalize os denominadores abaixo:

Answer 1

a_ 5  x √3= 5√3  / 3
    √3   √3  
b)2 /√3+√2 =  2√3 - 2√2
c) 4/4√7 =16√7/112

Answer 2

a)
$\frac{5}{ \sqrt{3} } = \frac{5 \sqrt{3} }{ \sqrt{3}. \sqrt{3} } = \frac{5 \sqrt{3} }{ \sqrt{3^2} } = \frac{5 \sqrt{3} }{3}$


b)
$\frac{2}{ \sqrt{3}+ \sqrt{2} } = \frac{2( \sqrt{3}- \sqrt{2}) }{( \sqrt{3}+ \sqrt{2})( \sqrt{3}- \sqrt{2}) } \\ \\ \frac{2( \sqrt{3}- \sqrt{2}) }{ \sqrt{3^2}- \sqrt{2^2} } = \\ \\ \frac{2 \sqrt{3}-2 \sqrt{2} }{3-2} = \\ \\ \frac{2 \sqrt{3}-2 \sqrt{2} }{1} =2 \sqrt{3} -2 \sqrt{2}$


c)
$\frac{4}{4 \sqrt{7} } = \frac{1}{ \sqrt{7} }= \frac{ \sqrt{7} }{ \sqrt{7}. \sqrt{7} } = \frac{ \sqrt{7} }{ \sqrt{7^2} } = \frac{ \sqrt{7} }{7}$