Multiply or divide.
-$$\sqrt { 2 } \cdot \sqrt { - 125 }$$
A) $5 \mathrm { i } \sqrt { 10 }$
B) $- 250$
C) $- 5 \mathrm { i } \sqrt { 10 }$
D) 250

Question

Quizplus · Accepted Answer

The product of $\sqrt{2}$ and $\sqrt{-125}$ can be simplified as $\sqrt{2} \cdot \sqrt{-1} \cdot \sqrt{125} = \sqrt{2} \cdot \mathrm{i} \cdot \sqrt{125}$. Since $\sqrt{125} = \sqrt{25 \cdot 5} = 5\sqrt{5}$, the expression simplifies to $5\mathrm{i}\sqrt{2 \cdot 5} = 5\mathrm{i}\sqrt{10}$.

Multiply or Divide 2⋅−125\sqrt { 2 } \cdot \sqrt { - 125 }2​⋅−125​

Multiply or Divide $\sqrt { 2 } \cdot \sqrt { - 125 }$