Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[\sqrt{4}\sqrt{m}=\frac{2-5}{2}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[2\sqrt{m}=\frac{2-5}{2}\]
Simplify \(2-5\) to \(-3\).
\[2\sqrt{m}=\frac{-3}{2}\]
Move the negative sign to the left.
\[2\sqrt{m}=-\frac{3}{2}\]
Square both sides.
\[4m=\frac{9}{4}\]
Divide both sides by \(4\).
\[m=\frac{\frac{9}{4}}{4}\]
Simplify \(\frac{\frac{9}{4}}{4}\) to \(\frac{9}{4\times 4}\).
\[m=\frac{9}{4\times 4}\]
Simplify \(4\times 4\) to \(16\).
\[m=\frac{9}{16}\]
Check solution
When \(m=\frac{9}{16}\), the original equation \(\sqrt{4m}=\frac{2-5}{2}\) does not hold true.We will drop \(m=\frac{9}{16}\) from the solution set.
Therefore,
[No Solution]
