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<p>Diketahui :</p><ul><li>a = ³√7 → 7^1/3</li><li>b = ³√3 → 3^1/3</li></ul><p>&nbsp;</p><p>&nbsp;</p><p>Ditanya : nilai dari √(a-b)(a²+ab+b²)</p><p>Penyelesaian :</p><p>√(a.- b)(a² + ab + b²) = √a³ - b³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= √(7^1/3)³ - (3^1/3)³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=√7^3/3 - 3^3/3</p><p>^{&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;}=√7 - 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = √4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2</p><p>&nbsp;</p><p>jadi , nilainya adalah 2</p><p>&nbsp;</p><p>A. 2</p><p><strong>Note : </strong>(a - b)(a² + ab + b²) = a³ - b³</p><p>^{&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;}</p>