Multiply and then simplify by factoring, if possible. \[ \sqrt{2} \sqrt{10} \] \[ \sqrt{2} \sqrt{10}=\square \] (Type an exact answer, using radicals as needed.)

Step 1 ：\(\sqrt{2} \times \sqrt{10} = \sqrt{2 \times 10}\)

Step 2 ：\(\sqrt{2 \times 10} = \sqrt{20}\)

Step 3 ：\(\sqrt{20} = \sqrt{4 \times 5}\)

Step 4 ：\(\sqrt{4 \times 5} = 2\sqrt{5}\)

Step 5 ：\(\boxed{\sqrt{2} \times \sqrt{10} = 2\sqrt{5}}\)