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\sqrt{2}\sqrt{5}-8\left(\sqrt{2}\right)^{2}
Use the distributive property to multiply \sqrt{2} by \sqrt{5}-8\sqrt{2}.
\sqrt{10}-8\left(\sqrt{2}\right)^{2}
To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.
\sqrt{10}-8\times 2
The square of \sqrt{2} is 2.
\sqrt{10}-16
Multiply -8 and 2 to get -16.