Absolute

What happens when you square an absolute value

What happens when you square an absolute value
  1. What does squaring an absolute value do?
  2. Does squaring cancel absolute value?
  3. What is the absolute value of a squared number?

What does squaring an absolute value do?

Squaring a makes it positive or zero (for a as a Real Number). Then taking the square root will "undo" the squaring, but leave it positive or zero.

Does squaring cancel absolute value?

Another way to eliminate an absolute value is to square both sides of the equation. Taking the absolute value makes things non-negative, and squaring makes things non-negative. So, if you square something, you no longer need to take its absolute value.

What is the absolute value of a squared number?

Algebraically, the absolute value of a number equals the nonnegative square root of its square. The absolute value of a number n, written |n|, can be described geometrically as the distance of n from 0 on the number line. For instance, |42| = 42 and |–42| = 42.

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