Why is sqrt(x^2) is |x|?

Leia Hood

Leia Hood

Answered question

2022-08-13

Why is x 2 is | x | ?

Answer & Explanation

Jakob Chavez

Jakob Chavez

Beginner2022-08-14Added 14 answers

The square root of x is a non-negative number y such that y 2 = x. Thus the square root of x 2 is a non-negative number y such that y 2 = x 2 . To make sure the square root of x 2 is non-negative then you take y = | x |
In the second part, writing ( x ) 2 means that x 0, so | x | = x, and you can safely say ( x ) 2 = x

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