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37 votes
37 votes
Simplify the following expression:



Simplify the following expression: ​-example-1
User Nodon
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2 Answers

11 votes
11 votes

Answer:


\boxed{-3\left(√(2)-1\right)}

Explanation:


\left(3\sqrt{3-2√(2)}\right)\left(√(3)-2\right)\left(√(3)+2\right)


-3\sqrt{3-2√(2)}\left(-1\right)


-3\sqrt{3-2√(2)}


-3\left(√(2)-1\right)


-3\left(√(2)-1\right)

User Kevinadi
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2.9k points
20 votes
20 votes

Answer:

Explanation:


(a + b)(a -b) = a^(2)-b^(2)\\\\\\a = √(3) \ & \ b = 2\\\\(√(3)-2)(√(3)+2)=(√(3))^(2)-2^(2) \\\\ = 3 - 4\\\\= -1


(3\sqrt{3-2√(2)})(√(3)-2)(√(3)+2)=(3\sqrt{3-2√(2)})*(-1)\\ \ = (-3)\sqrt{3-2√(2)}

User LiMar
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2.8k points