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Popular >

simplify sqrt((-1)/4)

Solution

simplify

\frac{- 1}{4}

Solution

\frac{i}{2}

Solution steps

\frac{- 1}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{4}

Apply radical rule:

- a = - 1 a

- \frac{1}{4} = - 1 \frac{1}{4}

= - 1 \frac{1}{4}

Apply imaginary number rule:

- 1 = i

= i \frac{1}{4}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{1}{4} = \frac{1}{4}

= i \frac{1}{4}

4 = 2

= i \frac{1}{2}

Apply rule

1 = 1

= i \frac{1}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 i}{2}

Multiply:

1 i = i

= \frac{i}{2}

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Frequently Asked Questions (FAQ)

What is sqrt((-1)/4) ?
The solution to sqrt((-1)/4) is i/2