Download - Setiya kurniawati (128620600109)
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Pangkat 2 Dan
Akar Pangkat 2
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Di susun oleh :Setiya Kurniawati(128620600109)
PGSD Pagi B/ semester 4Universitas Muhammadiyah Sidoarjo
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Pangkat 2
Akar Pangkat 2
Latihan Soal
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Masih ingatkah kalian rumus luas persegi ?
Sekarang kita akan mempelajari pangkat 2 dan akar pangkat 2
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Pengertian Pangkat 2• Pangkat dua merupakan perkalian suatu
bilangan terhadap bilangan itu sendiri sebanyak 2 kali. Maksudnya, jika 32(dibaca tiga pangkat dua), adalah mengulang perkalian 3 sampai dua kali atau 3 X 3 yang hasilnya adalah 9.
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Pangkat 2 bilangan positif
• 12 = 1 × 1= 1
• 22 = 2 × 2= 4
• 32 = 3 × 3= 9
• 42 = 4 × 4= 8
• 52 = 5 × 5= 25
• 62 = 6 × 6= 36
• 72 = 7 × 7= 49
• 82 = 8 × 8= 64
• 92 = 9 × 9= 81
• 102 = 10 × 10= 100
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Cara menghitung
• Cara 1
142 = 14 × 14 =196
14
14
56
14
196
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• Cara 2:232 = 529
3 dipangkatkan menjadi 32 = 9
2 × 3 × 2 = 12
(ditulis angka belakangnya) sisa 1
2 dipangkatkan menjadi 22 = 4
4 di tambahkan dengan sisanya menjadi
4 + 1= 5
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Akar Pangkat 2
• 4 = 2
• 9 = 3
• 16 = 4
• 25 = 5
• 36 = 6
• √49 = 7
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Cara menghitung
144 =
1× =1
44
22× = 44
0
Jadi, hasil dari 144adalah 12
1
2
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484 =
2 X = 4
84
42X = 84
0
Jadi, hasil dari √484adalah 22
2
2
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2704 =
5 X = 25
204
102X = 204
0
Jadi, hasil dari √2704adalah 52
5
2
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Latihan Soal
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1. Paman mempunyai kebun bunga berbentuk persegi dengan luas 4225 𝑚2. Berapakah sisi kebun bunga tersebut.?
Jawab : 65 𝑚2
pembahasan
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• Luas kebun bunga = 4225 𝑚2
• L persegi = s ×s = 𝑠2
• Jadi, L = 𝑠2
4225 = 𝑠2
𝑠2 = 4225
s = 4225
s = 65 m
Jadi, sisi kebun bunga paman adalah 65 m
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2. Ayah Toni memiliki sawah berbentuk persegi, dengan sisi 72 m. Berapakah luas sawah ayah Toni. ?
Jawab : 5184 𝑚2
pembahasan
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• Sisi = 72 m
• Luas = s × s
= 72 × 72
= 5184 𝑚2
Jadi, luas sawah Ayah Toni adalah 5184 𝑚2
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3. Hitunglah :
a. 422
b. 212
Jawab :
a. 1764
b. 225
pembahasan
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a. 422 = 42 × 42
42
42
84
168
1764
Jadi, hasilnya adalah 1764
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b. 212 = 21 × 21
21
21
21
42
441
Jadi, hasilnya adalah 441
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