Question

$\sqrt{- 100}=square+square i$

Explanation:

Step1: Rewrite -100 using imaginary unit

We know that $-100 = 100\times(- 1)$. So, $\sqrt{-100}=\sqrt{100\times(-1)}$.

Step2: Apply square - root property

By the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ (where $a = 100$ and $b=-1$), we have $\sqrt{100\times(-1)}=\sqrt{100}\cdot\sqrt{-1}$.

Step3: Calculate square - roots

Since $\sqrt{100} = 10$ and $\sqrt{-1}=i$, then $\sqrt{100}\cdot\sqrt{-1}=10i=0 + 10i$.

Answer:

0, 10