Solve 1/sqrt{-1}

$$\frac{ 1 }{ \sqrt{ -1 } }$$

Evaluate (complex solution)

$$-i$$

Solution Steps

Calculate the square root of -1 and get i.

$$\frac{1}{i}$$

Multiply both numerator and denominator by imaginary unit i.

$$\frac{i}{1i^{2}}$$

By definition, i^{2} is -1. Calculate the denominator.

$$\frac{i}{-1}$$

Divide i by -1 to get -i.

$$-i$$

Real Part (complex solution)

$$0$$

Solution Steps

Calculate the square root of -1 and get i.

$$Re(\frac{1}{i})$$

Multiply both numerator and denominator of \frac{1}{i} by imaginary unit i.

$$Re(\frac{i}{1i^{2}})$$

By definition, i^{2} is -1. Calculate the denominator.

$$Re(\frac{i}{-1})$$

Divide i by -1 to get -i.

$$Re(-i)$$

The real part of -i is 0.

$$0$$

Evaluate

$$\text{Indeterminate}$$