Question

Express the radical using the imaginary unit,

\[i\].
Express your answer in simplified form.
\[\pm\sqrt{-77}=\pm\]

Answer 1

The given radical ±√(-77) is expressed in imaginary unit as
`\pm √(77) \ i`

How to express the radical using imaginary unit i?

The imaginary unit is defined as the square root of negative 1, which means that i² equals -1.

Mathematically, an imaginary unit is expressed as;

i = √(-1)

i² = - 1

The given expression to be expressed as an imaginary unit;

= ±√(-77)

The expression given above is simplified as;

= ± √(-1 x 77)

= ± √(-1) x √77

Recall that i = √(-1)

= ± i x √77

= ± i√77

`= \pm √(77) \ i`

Thus, the given radical ±√(-77) is expressed in imaginary unit as
`\pm √(77) \ i`