Matematika Sekolah Menengah Atas Tentukan hasil yang paling sederhana!a. 4sqrt(2) - 3sqrt(50) + sqrt(32) b. 3sqrt(24) × sqrt(32) : 2sqrt(2)​

laurengoyetteulv – March 10, 2023

Tentukan hasil yang paling sederhana!
a. 4sqrt(2) - 3sqrt(50) + sqrt(32)
b. 3sqrt(24) × sqrt(32) : 2sqrt(2)​

SOAL A.

[tex]4 \sqrt{2} - 3 \sqrt{50} + \sqrt{32} [/tex]

[tex]= 4 \sqrt{2} - 3 \sqrt{25 \times 2} + \sqrt{16 \times 2} [/tex]

[tex]= 4 \sqrt{2} - 3 \times 5 \sqrt{2} + 4 \sqrt{2} [/tex]

[tex]= 4 \sqrt{2} - 15 \sqrt{2} + 4 \sqrt{2} [/tex]

[tex]= (4 - 15 + 4) \sqrt{2} = - 15 \sqrt{2} [/tex]

SOAL B.

[tex]3 \sqrt{24} \times \sqrt{32} \div 2 \sqrt{2} [/tex]

[tex] = 3 \sqrt{4 \times 6} \times \sqrt{16 \times 2} \div 2 \sqrt{2} [/tex]

[tex]= 3 \times 2 \sqrt{6} \times 4 \sqrt{2} \div 2 \sqrt{2} [/tex]

[tex]= 6 \sqrt{6} \times 4 \sqrt{2} \div 2 \sqrt{2} [/tex]

[tex]= (6 \times 4 \div 2) \sqrt{(6 \times 2 \div 2)} [/tex]

[tex]= 12 \sqrt{6} [/tex]

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