Simplify 5(3+ square root of 2)

$5 (3 + \sqrt{2})$

Step 1

Apply the distributive property.

$5 \cdot 3 + 5 \sqrt{2}$

Step 2

Multiply $5$ by $3$ .

$15 + 5 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$15 + 5 \sqrt{2}$

Decimal Form:

$22.07106781 \dots$