Merasionalkan bentuk akar 3√2 - 2 / 3 - 2√2

<p>(3√2 - 2) / (3 - 2√2) = [(3√2 - 2) / (3 - 2√2)] x [(3 + 2√2) / (3 + 2√2)]</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= [(3√2 - 2)(3 + 2√2)] / 9 - 8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= [9√2 + 12 - 6 - 4√2]/1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 + 5√2</p><p>&nbsp;</p><p>Ingat!</p><ul><li>√a x √a = a</li><li>a² - b² = (a + b)(a - b)</li></ul>