What is 3\sqrt{2}\cdot2\sqrt{8}\cdot\sqrt{3}\cdot\sqrt{6} in simplest radical form?

Pls help i really need this :/

Step-by-step explanation:

[tex]3\sqrt{2}\cdot2\sqrt{8}\cdot\sqrt{3}\cdot\sqrt{6} [/tex]

⇢ [tex] \tt{3 \sqrt{2} \: \cdot 2 \sqrt{2 \times 2 \times 2} \: \cdot \: \sqrt{3} \cdot \: \sqrt{6} }[/tex]

⇢ [tex] \tt{3 \sqrt{2} \cdot \: 2 \sqrt{ {2}^{2} \times 2} \cdot \: \sqrt{3} \cdot \sqrt{6} } [/tex]

⇢ [tex] \tt{3 \sqrt{2} \cdot \: 2 \sqrt{ {2}^{2} } \sqrt{2} \cdot{ \sqrt{3} } \: \cdot \: \sqrt{6} }[/tex]

⇢ [tex] \tt{3 \sqrt{2} \cdot \: 4 \sqrt{2} \: \cdot \: \sqrt{3} \cdot \: \sqrt{6} }[/tex]

⇢ [tex] \tt{3 \times 4 \sqrt{2 \times 2 } \cdot{ \sqrt{3}} \cdot{ \sqrt{6}} } [/tex]

⇢ [tex] \tt{12 \sqrt{4} \cdot \: \sqrt{3} \cdot \: \sqrt{6}} [/tex]

⇢ [tex] \tt{12 \sqrt{ {2}^{2} } \cdot \: \sqrt{3} \cdot{ \sqrt{6}} } [/tex]

⇢ [tex] \tt{12 \times 2 \cdot{ \sqrt{3} \cdot{ \sqrt{6}}}} [/tex]

⇢[tex] \tt{24 \sqrt{3 \times 6}} [/tex]

⇢[tex] \tt{24 \sqrt{18}} [/tex]

⇢ [tex] \tt{24 \sqrt{3 \times 3 \times 2}} [/tex]

⇢[tex] \sf{24 \times 3 \sqrt{2}} [/tex]

⇢[tex] \tt{72 \sqrt{2}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⇝ \: Our \: final \: answer : \boxed{ \underline{ \tt{72 \sqrt{2}}}}}}}} [/tex]

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2. Which is an example of the distributive property?
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3. Identify the property shown
transitive
associative
commutative
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transitive
commutative
distributive
associative
..........................................................................
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