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.)

Answer

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Answer

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

Steps

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