Answer
Correct answer: $\sqrt \frac{x}{5} = \frac{\sqrt x}{\sqrt 5}$
Work Step by Step
$Mistake$: student brought out $x$ without a square root.
According to the property: $\sqrt (a \times b) = \sqrt a \times \sqrt b$
The numerator should be: $\sqrt (5 \times x) = \sqrt 5 \times \sqrt x$
Hence, the correct answer is:
$\frac{\sqrt 5 \times \sqrt x}{\sqrt 25}$
$\frac{\sqrt 5 \times \sqrt x}{\sqrt 5 \times \sqrt 5}$
$= \frac{\sqrt x}{\sqrt 5}$
