Simplify 4*( square root of 2)/2

$4 \cdot \frac{\sqrt{2}}{2}$

Factor $2$ out of $4$ .

$2 (2) \cdot \frac{\sqrt{2}}{2}$

Cancel the common factor.

$2 \cdot 2 \cdot \frac{\sqrt{2}}{2}$

Rewrite the expression.

$2 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$