Rasionalkanlah : a. 1/√5+1. b. 3/√6+3. c. √3+2/√5+1

jawab

a)
1/ (√5 + 1) = 1(√5 - 1) / (√5 + 1)(√5 -1)
= (√5 -1) / (5 -1)
= 1/4 (√5  -1)


b)
3/ (√6  -3) = 3(√6 + 3) / (√6 -3)(√6  + 3)
= 3(√6 + 3)/(6 -9)
= 3 (√6 +3)/(-3)
= -(√6 + 3)
= 3 - √6

c)
(√3+ 2)/(√5 + 1) = (√3 + 2)(√5 - 1) / (√5 +1)(√5 -1)
= (√15 - √3 + 2√5 -2)/(5 -1)
= 1/4 (√15 - √3 + 2√5 - 2)

Jawabannya :

A. 1/√5+1= (1)/(√5-1)×(√5+1)/(√5-1)
= (1)(√5-1)/(√5-1)(√5-1)
= (1)(√5-1)/(5-1)
= (1)(√5-1)/(4)
= 1/4(√5-1)

B. 3/√6+3= (3)/(√6+3)×(√6-3)/(√6-3)
= (3)(√6-3)/(√6+3).(√6+3)
= (3)(√6-3)/(6+3)
= (3)(√6+3)/(9)
= -3(√6+3)
= 3-√6

C. √3+2/√5+1= (√3+2)/(√5-1)×(√5+1)/(√5-1)
= (√15-√3+2√5+2)/(5+1)
= (2+√15+√3+2√5)/4
= 1/4(2+√15+√3+2√5)

Jadiin Jawaban Terbaik Ya