Rasionalkan dan sederhanakan pecahan berikut a) 2√30 - 3√70 ——————— = √10 b) 3√3 - 2√2 —————— = 2√3 - 4√2 c) 2+√3 —————— = (2-√3) (1+√3) d) 2 ———
Matematika
zarc
Pertanyaan
Rasionalkan dan sederhanakan pecahan berikut
a) 2√30 - 3√70
——————— =
√10
b) 3√3 - 2√2
—————— =
2√3 - 4√2
c) 2+√3
—————— =
(2-√3) (1+√3)
d) 2
—————— =
√2+√3-√5
a) 2√30 - 3√70
——————— =
√10
b) 3√3 - 2√2
—————— =
2√3 - 4√2
c) 2+√3
—————— =
(2-√3) (1+√3)
d) 2
—————— =
√2+√3-√5
1 Jawaban
-
1. Jawaban DimasSaputra251
cara: note:/=per
a)
=(2√30-3√70)√10/10
=2√300-3√700/10
=2×10√3-3×10√7/10
=20√3-30√7/10
=10(2√3-3√7)/10
=2√3-3√7 atau -4.47315
b)
=√2/2√3-4√2
=√2×(2√3+4√2)/-20
=√2×2(√3+2√2)/-20
=√2×(√3+2√2)/-10
=√6+4/-10
=-√6+4/10 atau -0.644949
c)
=2+√3/2+2√3-√3-3
=2+√3/-1+√3
=(2+√3)×(√3+1)/2
=2√3+2+3+√3/2
=3√3+5/2 atau 5.09808
d)
=2/√2+√3-√5
=2/0,910196
=2/910196/1000000
=2×1000000/910196
=1000000/455098
=500000/227549
=2 44902/227549 atau 2,19733
semoga membantu :)