Sederhanakan operasi bentuk akar berikut! 8√2+√8+3√32

<p>Jawaban: 22√2</p><p>&nbsp;</p><p>Ingat bahwa!</p><p>√(a×b) = √a ×√b</p><p>a√b + c√b = (a+c)√b</p><p>a×b√c = ab√c</p><p>&nbsp;</p><p>Maka hasil dari 8√2+√8+3√32 sebagai berikut&nbsp;</p><p>8√2+√8+3√32 = 8√2 + √(4×2) + 3√(16×2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8√2 + 2√2 + 3·4√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8√2 + 2√2 + 12√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 22√2</p><p>&nbsp;</p><p>Jadi, hasil dari 8√2+√8+3√32 adalah 22√2</p>