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Differentiate w.r.t. a
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-\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}a
Use the distributive property to multiply -\sqrt{3} by \sqrt{5}-\sqrt{3}a.
-\sqrt{15}+\left(\sqrt{3}\right)^{2}a
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.
-\sqrt{15}+3a
The square of \sqrt{3} is 3.