Simplify (5 square root of 2)/-5

$\frac{5 \sqrt{2}}{- 5}$

Cancel the common factor of $5$ and $- 5$ .

Factor $5$ out of $5 \sqrt{2}$ .

$\frac{5 (\sqrt{2})}{- 5}$

Move the negative one from the denominator of $\frac{\sqrt{2}}{- 1}$ .

$- 1 \cdot \sqrt{2}$

Rewrite $- 1 \cdot \sqrt{2}$ as $- \sqrt{2}$ .

$- \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{2}$

Decimal Form:

$- 1.41421356 \dots$