QuestionApril 20, 2026

Multiply and simplify: (3sqrt (3)-2)(sqrt (6)+1) square

Multiply and simplify: (3sqrt (3)-2)(sqrt (6)+1) square
Multiply and simplify:
(3sqrt (3)-2)(sqrt (6)+1)
square

Solution
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Answer

9\sqrt{2} + 3\sqrt{3} - 2\sqrt{6} - 2 Explanation 1. Apply distributive property Multiply each term: 3\sqrt{3} \cdot \sqrt{6} = 3\sqrt{18} = 3\sqrt{9 \cdot 2} = 9\sqrt{2} 3\sqrt{3} \cdot 1 = 3\sqrt{3} -2 \cdot \sqrt{6} = -2\sqrt{6} -2 \cdot 1 = -2 2. Combine all terms Add results: 9\sqrt{2} + 3\sqrt{3} - 2\sqrt{6} - 2

Explanation

1. Apply distributive property <br /> Multiply each term: <br />$3\sqrt{3} \cdot \sqrt{6} = 3\sqrt{18} = 3\sqrt{9 \cdot 2} = 9\sqrt{2}$ <br />$3\sqrt{3} \cdot 1 = 3\sqrt{3}$ <br />$-2 \cdot \sqrt{6} = -2\sqrt{6}$ <br />$-2 \cdot 1 = -2$<br /><br />2. Combine all terms <br /> Add results: <br />$9\sqrt{2} + 3\sqrt{3} - 2\sqrt{6} - 2$
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