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College Algebra / Unit 1   Alg 042 short lesson, about 20 seconds

The Square Root of a Square

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The idea

For every real number x, the square root of x² is the absolute value of x: √(x²) = |x|.

In practice

√((−4)²) is √16, which is 4 — the distance of −4 from zero, not −4 itself.

Where people slip

The bars guard the principal root when x might be negative.

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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