Bilangan Akar dan Pangkat

Bahan Stempel Harga Murah, Jelas, Lengkap, Recommended di walisongo.co.id

A. Akar Kuadrat

√a  = b → b² = a

Contoh :

1. √25 = 5 → 5² = 25
2. √49 = 7 → 7² = 49

B. Bilangan Pangkat 2

1. Pangkat dua
   
   
   a² = a x a
   
   
   Contoh :
1. 2² = ....
   Jawab :
   = 2² = 2 x 2 = 4
2. 4² = ....
   Jawab :
   = 4² = 4 x 4 = 16
2. Penjumlahan
   
   
   a² + b² = 2 x (a x b) + (a - b)²
   
   
   Contoh :
1. 2² + 3² = ....
   Jawab :
   = 2 x (2 x 3) + (2 - 3)²
   = 2 x 6 + 1 = 13
2. 7² + 5² = ....
   Jawab :
   = 2 x (7 x 5) + (7 - 5)²
   = 2 x 35 + 4 = 74
3. Pengurangan
   
   
   a² - b² = (a + b) x (a - b)
   
   
   Contoh :
1. 4² - 3² = ....
   Jawab :
   = (4 + 3) x (4 - 3)
   = 7 x 1 = 7
2. 7² - 5² = ....
   Jawab :
   = (7 + 5) x (7 - 5)
   = 12 x 2 = 24
4. Perkalian
   
   
   a² x b² = (a x b)²
   
   
   Contoh :
1. 2² x 4² = ....
   Jawab :
   = (2 x 4)²
   = 64
2. 2² x 3² = ....
   Jawab :
   = (2 x 3)²
   = 36
5. Pembagian
   
   
   a² : b² = (a : b)²
   
   
   Contoh :
1. 10² x 5² = ....
   Jawab :
   = (10 : 5)²
   = 4
2. 24² : 8² = ....
   Jawab :
   = (24 : 8)²
   = 9

C. Bilangan Pangkat 3

1. Pangkat 3
   
   
   a³ = a x a x a
   
   
   Contoh :
1. 3³ = ....
   Jawab :
   = 3³ = 3 x 3 x 3 = 8
2. 5³ = ....
   Jawab :
   = 5³ = 5 x 5 x 5 = 75
2. Perkalian
   
   
   a³  x b³ = (a : b)³
   
   
   Contoh :
1. 18³ : 6³ = ....
   Jawab :
   = ( 18 : 6 )³
   = 3³ = 3 x 3 x 3
   = 27
2. 25³ : 5³ = ....
   Jawab :
   = ( 25 : 5 )³
   = 5³ = 5 x 5 x 5
   = 75

Posted by Adam Prasetya