Answer
$5x\sqrt 2$
Work Step by Step
Step 1: $\sqrt {5x}\times\sqrt {10x}$
Step 2: $\sqrt 5\times\sqrt x\times\sqrt {10}\times\sqrt x$
Step 3: $\sqrt x\times\sqrt x\times\sqrt 5\times\sqrt {10}$
Step 4: $(\sqrt x\times\sqrt x)\times(\sqrt 5\times\sqrt {10})$
Step 5: $x\times(\sqrt 5\times\sqrt {2\times5})$
Step 6: $x\times(\sqrt 5\times\sqrt 2\times\sqrt 5)$
Step 7: $x\times(\sqrt 5\times\sqrt 5\times\sqrt 2)$
Step 8: $x\times(5\times\sqrt 2)$
Step 9: $5x\sqrt 2$