Short Answer

Precision Fabrication Area Calculation

A precision machinist is calculating the area of a rectangular component with dimensions $6\sqrt{2} mm and $3\sqrt{10} mm. After the first step of multiplication, the machinist obtains the expression $18\sqrt{20}. To reach the final simplified result of $36\sqrt{5}, what perfect square factor must be extracted from the radicand 20, and what is the final integer coefficient of the simplified expression?

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Updated 2026-04-17

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