rasional kan lah/sederhanakan Plisss jawab
Matematika
syalsyabila16
Pertanyaan
rasional kan lah/sederhanakan
Plisss jawab
Plisss jawab
1 Jawaban
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1. Jawaban ArifAfkar
1.
3√5 - 2√3 / 2√2
=3√5 - 2√3 / 2√2 × 2√2 / 2√2
=6√10 - 4√6 / 4√4
=6√10 - 4√6 / 4×2
=6√10 - 4√6 / 8
=6/8 √10 - 4/8 √6
=3/4 √10 - 1/2 √6
2.
4√3 - 5√5 / 3√6 + 2√3
=4√3 - 5√5 / 3√6 + 2√3 × 3√6 - 2√3 / 3√6 - 2√3
=(4√3 - 5√5)(3√6 - 2√3) / (3√6 + 2√3)(3√6 - 2√3)
=12√18 - 8√9 - 15√30 + 10√15 / 9√36 - 6√18 + 6√18 - 4√9
=12√9×2 - 8×3 - 15√30 + 10√15 / 9×6 - 0 4×3
=12×3√2 - 24 - 15√30 + 10√15 /54 - 12
=36√2 - 24 - 15√30 + 10√15 / 42
=36/42 √2 - 24/42 - 15/42 √30 + 10/42 √15
=6/7 √2 - 4/7 - 5/14 √30 + 5/21 √15
3.
2√3 - 2√2 / 3√2 - 2
=2√3 - 2√2 / 3√2 - 2 × 3√2 + 2 / 3√2 + 2
=(2√3 - 2√2)(3√2 + 2) / (3√2 - 2)(3√2 + 2)
=6√6 + 4√3 - 6√4 - 4√2 / 9√4 + 6√2 - 6√2 - 4
=6√6 + 4√3 - 6×2 - 4√2 / 9×4 - 0 - 4
=6√6 + 4√3 - 12 - 4√2 / 36 - 4
=6√6 + 4√3 - 12 - 4√2 / 32
=6/32 √6 + 4/32 √3 - 12/32 - 4/32 √2
=3/16 √6 + 1/8 √3 - 3/8 - 1/8 √2
Semoga bisa membantu...