Answer
$2x\sqrt 5$
Work Step by Step
$\sqrt {10x}\times\sqrt {2x}=\sqrt {(10x)(2x)}=\sqrt { 20x^2}=\sqrt {20}\times\sqrt {x^2}=\sqrt {4\times5}\times x=\sqrt 4\times\sqrt 5\times x=2\times\sqrt 5\times x=2x\sqrt 5$
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