Sederhanakan perkalian bentuk akar berikut. c. 5√6(4√2 − 3√6)

<p>Halo Lena. Kakak bantu jawab ya.</p><p>Jawab: 40√3 - 90</p><p>Pembahasan:</p><p>Ingat!</p><ul><li>a(b+c) = ab+ac</li><li>a√b × c√d = a×c×√(b×d)</li><li>√(a×b) = √a × √b</li></ul><p>Dengan menggunakan konsep di atas, diperoleh</p><p>5√6(4√2 − 3√6) = (5√6 × 4√2)-(5√6 × 3√6)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (5×4×√(6×2))-(5×3×√(6×6))</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (20√12)-(15√36)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 20√(4×3) - (15×6)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (20×2×√3)-90</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 40√3 - 90</p><p>&nbsp;</p><p><strong><u>Jadi, jawaban yang benar adalah 40√3 - 90.</u></strong></p>