What is the square root of x squared?

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What is the square root of x squared?

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Answer 1 · 2015-05-31T12:00:46

The term 'the square root of X' is not quite precise as there are usually $2$ $2$ square roots called $\sqrt{X}$ $sqrt(X)$ and $- \sqrt{X}$ $-sqrt(X)$

$\sqrt{x^{2}} = | x |$ $sqrt(x^2) = abs(x)$

This is the positive square root of $x^{2}$ $x^2$ .

$- \sqrt{x^{2}} = - | x |$ $-sqrt(x^2) = -abs(x)$ is also a square root of $x^{2}$ $x^2$

It's tempting to say $\sqrt{x^{2}} = x$ $sqrt(x^2) = x$ , but that's only true for $x \geq 0$ $x>=0$

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What is the square root of x squared?

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