Question

Express the radical using the imaginary unit I. Express your answer in simplified form

-22

Answer 1

Given:

The radical expression is

`\pm √(-22)`

To find:

The simplified form of the given expression by using the imaginary unit i.

Solution:

We have,

`\pm √(-22)`

It can be written as

`\pm √(-22)=\pm √(22)√(-1)`
`[\because √(ab)=√(a)√(b)]`

`\pm √(-22)=\pm √(22)i`
`[\because √(-1)=i]`

Therefore,
`\pm √(-22)=\pm √(22)i`.