Question

Simplify the following expression:​

Answer 1

Answer:

$\boxed{-3\left(\sqrt{2}-1\right)}$

Step-by-step explanation:

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

$-3\sqrt{3-2\sqrt{2}}\left(-1\right)$

$-3\sqrt{3-2\sqrt{2}}$

$-3\left(\sqrt{2}-1\right)$

$-3\left(\sqrt{2}-1\right)$

Answer 2

Answer:

Step-by-step explanation:

$(a + b)(a -b) = a^{2}-b^{2}\\\\\\a = \sqrt{3} \ & \ b = 2\\\\(\sqrt{3}-2)(\sqrt{3}+2)=(\sqrt{3})^{2}-2^{2} \\\\ = 3 - 4\\\\= -1$

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