Question

Express 9.2−3−8−−−√
as a complex number in the form of a+bi
. What is the imaginary term?(1 point)
Responses

−i2–√
negative i square root of 2

6i
6 i

−6i
negative 6 i

−6i2–√

Answer 1

I can’t parse the expression as written. Could you retype it using parentheses and sqrt for roots (for example sqrt(-2) or (9-2) etc.) or upload a picture?

How to get the imaginary term once it’s clear:
- Replace sqrt(−k) with i·sqrt(k).
- Collect the coefficient of i; that coefficient times i is the imaginary term.

Examples:
- sqrt(−36) = 6i → imaginary term = 6i
- −sqrt(−36) = −6i → imaginary term = −6i
- sqrt(−2) = i sqrt(2) → imaginary term = i√2
- −sqrt(−72) = −6i√2 → imaginary term = −6i√2

Send the expression again (e.g. 9*2-3-8*sqrt(-2) or sqrt(9-2)-3-8) and I’ll give the exact imaginary term.