Simplify each expression. Use the five guidelines given in this section. $$ (\sqrt{10}-\sqrt{20})(\sqrt{2}-\sqrt{5}) $$
Added by William M.
Step 1
Simplify any perfect squares inside the radicals: $\sqrt{10}$ and $\sqrt{20}$ cannot be simplified further because they do not have any perfect square factors. However, $\sqrt{2}$ and $\sqrt{5}$ cannot be simplified further because they are both prime numbers. Show more…
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