Question

racionalize o denominador de cada uma das frações urgente
a) √5/√3
b)2√5/ 5√2
c) x/2√x
d)3√2/√3
e) 2/ ( √7 - √3)
f) 50/(2-√2)
g) (√3-2)/(√3+2)

Answer 1

Resposta:

Explicação passo-a-passo:

a)

= √5/√3 . √3/√3

= √15/3

b)

= 2√5/ 5√2 . 5√2/5√2

= (2√5.5√2) / (5√2.5√2)

= 10√10/ 25.2

= 10√10 / 50

= √10/5

c)

= x/2√x . √x/√x

= x√x / ( 2√x√x )

= x√x/ 2x

= √x/2

d)

= 3√2/√3 .√3/√3

= 3√2.√3 / (√3.√3)

= 3√6 / 3

= √6

e)

= 2/(√7-√3) . (√7+√3).(√7+√3)

= 2.(√7+√3)/ (√7-√3).(√7+√3)

= 2(√7+√3)/(7+√3√7-√3.√7+3)

= 2(√7+√3)/10

= (√7+√3)/5

f)

= 50/(2-√2) . (2+√2)/(2+√2)

= 50.(2+√2)/(2-√2).(2+√2)

=50.(2+√2)/(4+2√2-2√2-2)

= 50.(2+√2)/2

= 25.(2+√2)

g)

= (√3-2)/(√3+2) (√3-2)/(√3-2)

= (√3-2).(√3-2)/(√3+2).(√3-2)

=(3-2√3-2√3+4)/(3 -2√3+2√3-4)

=(7 - 4√3)/ (-1)

= - 7 + 4√3