Question

For what values of x is the following expression a real​ number? TexFormula1" title="\sqrt{x} -4" alt="\sqrt{x} -4" align="absmiddle" class="latex-formula">

Answer 1

The square root is defined only for non-negative numbers. In other words, you can compute $\sqrt{x}$ if and only if $x \geq 0$

If $x \geq 0$, the square root is a real number, and so is $\sqrt{x}-4$