Question

What is the square root of $x$ squared?

Answer 1

Find the square root.

It is known, that the square root of any term is $\sqrt{a}$.

Replace $a$ with $x^2$.

It gives $\sqrt{x^2}$.

Since the square of a real number is same $+a,-a$.

Therefore the solution of $\sqrt{x^2}$ can be $\left|x\right|$.

$\left|x\right|$ is called a modulus function in which value of $x$ is $x$ when$x\ge 0$ and $-x$when $x<0$.

Hence, the square root of $x$ squared is $\left|x\right|$.