sederhanakan hasil operasi bentuk akar berikut ! 1.√12 × √27 2. 4√8 + 3√18 2. √147 - √48
Matematika
ramaprabumulih
Pertanyaan
sederhanakan hasil operasi bentuk akar berikut !
1.√12 × √27
2. 4√8 + 3√18
2. √147 - √48
1.√12 × √27
2. 4√8 + 3√18
2. √147 - √48
2 Jawaban
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1. Jawaban Diendra18
[tex]1. \: \: \sqrt{12} \times \sqrt{27} \\ = \sqrt{4 \times 3} \times \sqrt{9 \times 3} \\ = 2 \sqrt{3} \times 3 \sqrt{3} \\ = 2 \times 3 \times \sqrt{3} \times \sqrt{3} \\ = 6 \times 3 \\ = 18 \\ \\ 2. \: \: 4 \sqrt{8} + 3 \sqrt{18} \\ = 4 \sqrt{4 \times 2} + 3 \sqrt{9 \times 2} \\ = 4 \times 2 \sqrt{2} + 3 \times 3 \sqrt{2} \\ = 8 \sqrt{2} + 9 \sqrt{2} \\ = 17 \sqrt{2} \\ \\ 3. \: \: \sqrt{147} - \sqrt{48} \\ = \sqrt{49 \times 3} - \sqrt{16 \times 3} \\ = 7 \sqrt{3} - 4 \sqrt{3} \\ = 3 \sqrt{3} [/tex]
Semoga membantu☺ -