Question

Determine the positive square root of -36

Answer 1

Answer:

6i

Step-by-step explanation:

$\sqrt{-36} = \sqrt{-1}\sqrt{36}\\= 6i$

The square root of a negative 1 is I, so you just take out the negative, replace it with I, then solve the square root like normal

Answer 2

$i=\sqrt{-1}\\\\-36=(-1)(36)\\\\\sqrt{-36}=\sqrt{(-1)(36)}=\sqrt{-1}\cdot\sqrt{36}=i\cdot6=6i\\\\Used\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\Answer:\ \boxed{\sqrt{-36}=6i}$