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Answer:
[tex]90\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\hookrightarrow 3\sqrt{6}\cdot \:5\sqrt{12}[/tex]
[tex]\hookrightarrow3\sqrt{6}\cdot \:5\sqrt{3*4}[/tex] [ √4 = 2 ]
[tex]\hookrightarrow3\sqrt{6}\cdot \:5*2\sqrt{3}[/tex] [ break down ]
[tex]\hookrightarrow3\sqrt{3}\sqrt{2}\cdot \:5\cdot \:2\sqrt{3}[/tex] [ simplify ]
[tex]\hookrightarrow90\sqrt{2}[/tex] [ final answer ]