Question

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

a) i√90
b) 3i√10
c) i 9
d) 90 i

Answer 1

To express a radical using the imaginary unit i, any negative square root is expressed in terms of i. For instance, √-90 is expressed as i√90, and 3√-10 becomes 3i√10. option b.

Step-by-step explanation:

The information provided does not directly pertain to expressing the radical using the imaginary unit i. However, I can explain how to express radicals using the imaginary unit i. The imaginary unit i is defined as the square root of -1. To express a radical with an imaginary unit, any negative square root is expressed in terms of i.

For example:

• If we have √-90, we can express this as √90 × √-1, which simplifies to √90 × i, or i√90.
• For 3√-10, we follow a similar process, expressing it as 3√10 × √i, which simplifies to 3i√10.

Values that are already multiplied by i, such as i times 9 or 90 times i, do not have to be manipulated, as they do not contain a radical.