Solve 5sqrt{-1/64}

$$5 \sqrt{ \frac{ -1 }{ 64 } }$$

Evaluate (complex solution)

$$\frac{5}{8}i=0.625i$$

Solution Steps

Fraction \frac{-1}{64} can be rewritten as -\frac{1}{64} by extracting the negative sign.

$$5\sqrt{-\frac{1}{64}}$$

Calculate the square root of -\frac{1}{64} and get \frac{1}{8}i.

$$5\times \left(\frac{1}{8}i\right)$$

Multiply 5 and \frac{1}{8}i to get \frac{5}{8}i.

$$\frac{5}{8}i$$

Real Part (complex solution)

$$0$$

Solution Steps

Fraction \frac{-1}{64} can be rewritten as -\frac{1}{64} by extracting the negative sign.

$$Re(5\sqrt{-\frac{1}{64}})$$

Calculate the square root of -\frac{1}{64} and get \frac{1}{8}i.

$$Re(5\times \left(\frac{1}{8}i\right))$$

Multiply 5 and \frac{1}{8}i to get \frac{5}{8}i.

$$Re(\frac{5}{8}i)$$

The real part of \frac{5}{8}i is 0.

$$0$$

Evaluate

$$\text{Indeterminate}$$