In Exercises 1-8 find the 1. sqrt (-36)

To find the square root of -36, we need to use the concept of imaginary numbers. The square root of a negative number is not a real number, but it can be expressed as a complex number.<br /><br />The square root of -36 can be written as $\sqrt{-36} = \sqrt{36} \cdot \sqrt{-1}$.<br /><br />Since $\sqrt{-1}$ is defined as the imaginary unit $i$, we can rewrite the expression as $\sqrt{-36} = \sqrt{36} \cdot i$.<br /><br />The square root of 36 is 6, so we have $\sqrt{-36} = 6i$.<br /><br />Therefore, the answer is $6i$.