Question

What is an exact solution for " alt="m \sqrt{14} " align="absmiddle" class="latex-formula">
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Answer 1

Answer: Choice B)  $\sqrt{14}$

We have some value m and we're squaring it to get $m^2$

To undo this and isolate m, we apply the square root to both sides

$m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}$

There are two solutions here. This is similar to how there are two solutions in something like $x^2 = 25$ (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because

negative times negative = positive.