What is sqrt((-1)/2) ?

The solution to sqrt((-1)/2) is isqrt(1/2)

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simplify sqrt((-1)/2)

simplify

\frac{- 1}{2}

i \frac{1}{2}

Solution steps

\frac{- 1}{2}

Apply the fraction rule:

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

= - \frac{1}{2}

Apply radical rule:

- a = - 1 a

- \frac{1}{2} = - 1 \frac{1}{2}

= - 1 \frac{1}{2}

Apply imaginary number rule:

- 1 = i

= i \frac{1}{2}

\frac{1}{2} 1 + 40

- 270

(5 x + 9)^{2}

\frac{125}{10}

- 1 (3)