bentuk sederhana dari 5/√5+√2 =

<p>Jawaban yang tepat adalah 5/3 (√5 - √2)</p><p>&nbsp;</p><p>Pembahasan :</p><p>5/(√5+√2) = 5/(√5+√2) &nbsp;x &nbsp;(√5 - √2)/(√5 - √2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5(√5 - √2)/(5 - 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5(√5 - √2)/3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5/3 (√5 - √2)</p><p>Ingat!</p><ul><li>a/(√b + √c) = a/(√b + √c) &nbsp;x (√b - √c) /(√b - √c)&nbsp;</li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= a(√b - √c) /(b - c)</p><ul><li>(√b + √c) (√b - √c) &nbsp;= (√b)² - (√c)²</li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= b - c&nbsp;</p><p>&nbsp;</p>