Question
Write the value of $\sqrt{-25}\times\sqrt{-9}.$

Answer

$\sqrt{-25}\times\sqrt{-9}=5\sqrt{-1}\times3\sqrt{-1}$ $=5\text{i}\times3\text{i}$ $=15\text{i}^2$ $=-15$ Hence, $\sqrt{-25}\times\sqrt{-9}=-15.$

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