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College Algebra / Unit 4   Alg 181 short lesson, about 20 seconds

The Imaginary Unit

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The idea

The imaginary unit i is defined as the square root of −1, so that i² = −1; i is the principal, positive root.

In practice

No real number squares to a negative, so i lives off the real line — a new number admitted under the old rules.

Where people slip

i is a number, not a variable.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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