Write the complex number in standard form. $\sqrt { - 20 } \times \sqrt { - 18 }$
A) $6 \sqrt { 10 }$
B) $- \sqrt { 20 }$
C) - $6 \sqrt { 10 }$
D) $\sqrt { 18 }$
E) $\sqrt { 20 }$

Question

Write the complex number in standard form.​ $\sqrt { - 20 } \times \sqrt { - 18 }$ ​ ​
A) $6 \sqrt { 10 }$
B) $- \sqrt { 20 }$
C) - $6 \sqrt { 10 }$
D) $\sqrt { 18 }$
E) $\sqrt { 20 }$

Quizplus · Accepted Answer

The product of two complex numbers $\sqrt{-20}$ and $\sqrt{-18}$ can be simplified as $\sqrt{20} \cdot i \cdot \sqrt{18} \cdot i = \sqrt{360} \cdot i^2$. Since $i^2 = -1$, this simplifies to $-\sqrt{360}$, which can be further simplified to $-6\sqrt{10}$, matching option C.

Write the Complex Number in Standard Form −20×−18\sqrt { - 20 } \times \sqrt { - 18 }−20​×−18​

Write the Complex Number in Standard Form $\sqrt { - 20 } \times \sqrt { - 18 }$