Question

simplify √-36
6
6i
36i
-6

Explanation:

Step1: Rewrite -36 as product

We know that $-36=-1\times36$. So, $\sqrt{-36}=\sqrt{-1\times36}$.

Step2: Use square - root property

According to the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ (for $a = - 1$ and $b = 36$), we have $\sqrt{-1\times36}=\sqrt{-1}\times\sqrt{36}$.

Step3: Recall values of square - roots

We know that $\sqrt{-1}=i$ and $\sqrt{36}=6$. So, $\sqrt{-1}\times\sqrt{36}=6i$.

Answer:

$6i$