Sederhanakan bentuk akar berikut: b. 2√18+3√12-√98

<p>Jawaban: 6√3 - √2</p><p>&nbsp;</p><p>Ingat:</p><ul><li>a√b ± c√b = (a±c)√b</li></ul><p>&nbsp;</p><p>Pembahasan:</p><p>2√18 + 3√12 - √98 = 2√(9×2) + 3√(4×3) - √(49×2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2(√9 × √2) + 3(√4 × √3) - (√49 × √2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2×3√2 + 3×2√3 - 7√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= &nbsp;6√2 + 6√3 - 7√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6√3 + (6-7)√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6√3 - √2</p><p>&nbsp;</p><p>Jadi, bentuk sederhananya adalah 6√3 - √2.</p>