Pertanyaan

Tentukan hasil akar-akar bilangan berikut ! a. 2 9 2 − 2 0 2 b. 2 6 + 3 4 + 1 2 2 c. 3 2 0 2 + 1 0 2 − 5 4

Tentukan hasil akar-akar bilangan berikut !

a. $2 9^{2} - 2 0^{2}$
b. $2^{6} + 3^{4} + 1 2^{2}$
c. $3 2 0^{2} + 1 0^{2} - 5^{4}$

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari square root of 29 squared minus 20 squared end root equals 21

square root of 2 to the power of 6 plus 3 to the power of 4 plus 12 squared end root equals 17

, dan

cube root of 20 squared plus 10 squared minus 5 to the power of 4 end root equals negative 5

Pembahasan

Ingatlah, jika hasil pemangkatan , maka nilai . Berdasarkan hal tersebut, maka: a) b) c) Dengan demikian, hasil dari , , dan .

Ingatlah, jika hasil pemangkatan a to the power of n equals b , maka nilai n-th root of b equals n-th root of a to the power of n end root equals a .

Berdasarkan hal tersebut, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 29 squared minus 20 squared end root end cell equals cell square root of 841 minus 400 end root end cell row blank equals cell square root of 441 end cell row blank equals cell square root of 21 squared end root end cell row blank equals 21 end table

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 2 to the power of 6 plus 3 to the power of 4 plus 12 squared end root end cell equals cell square root of 64 plus 81 plus 144 end root end cell row blank equals cell square root of 289 end cell row blank equals cell square root of 17 squared end root end cell row blank equals 17 end table

Dengan demikian, hasil dari square root of 29 squared minus 20 squared end root equals 21 , square root of 2 to the power of 6 plus 3 to the power of 4 plus 12 squared end root equals 17 , dan cube root of 20 squared plus 10 squared minus 5 to the power of 4 end root equals negative 5 .