Question

Simplify the following expression:

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Answer 1

`\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)`

Answer 2

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)}`