Dengan merasionalkan penyebutnya, bentuk (28√(5))/(9√(7)) dapat disederhanakan menjadi .... a. 2/3√(35) b. 3/7√(35) c. 1/3√(35) d. 4/9√(35)

<p>Jawaban : D</p><p>&nbsp;</p><p>Ingat:</p><p>a/b × c/d = (a×c)/(b×d)</p><p>*untuk merasionalkan penyebut maka pecahan akan dikalikan akar sekawan penyebut.</p><p>&nbsp;</p><p>Pembahasan:</p><p>(28√5)/(9√7) = [(28√5)/(9√7)] × [√7/√7]</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (28√(5×7))/(9√(7×7))</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (28√35)/(9√49)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (28√35)/(9×7)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (4√35)/9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4/9 (√35)</p><p>Jadi, jawaban yang benar adalah D</p>