3√18-√75+5√50-√12
Jawab:34√2 - 7√3
Penjelasan dengan langkah-langkah:
3x3√2 - 5√3 + 5x5√2 -2√3
9√2 -5√3 + 25√2 -2√3
34√2 -7√3
Penjelasan dengan langkah-langkah:
[tex]3 \sqrt{18} - \sqrt{75} + 5 \sqrt{50} - \sqrt{12} = 3 \sqrt{(9 \times 2)} - \sqrt{(25 \times 3)} + 5 \sqrt{(25 \times 2)} - \sqrt{(4 \times 3)} = 3(3) \sqrt{2} - 5 \sqrt{3} + 5(5) \sqrt{2} - 2 \sqrt{3} = 9 \sqrt{2} - 5 \sqrt{3} + 25 \sqrt{2} - 2 \sqrt{3} = 9 \sqrt{2} + 25 \sqrt{2} - 5 \sqrt{3} - 2 \sqrt{3} = (9 + 25) \sqrt{2} - (5 + 2) \sqrt{3} = 34 \sqrt{2} - 7 \sqrt{3} [/tex]