Simplify square root of 3( square root of 3+x)

$\sqrt{3} (\sqrt{3} + x)$

Simplify terms.

Apply the distributive property.

$\sqrt{3} \sqrt{3} + \sqrt{3} x$

Combine using the product rule for radicals.

$\sqrt{3 \cdot 3} + \sqrt{3} x$

Simplify each term.

Multiply $3$ by $3$ .

$\sqrt{9} + \sqrt{3} x$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}} + \sqrt{3} x$

Pull terms out from under the radical, assuming positive real numbers.

$3 + \sqrt{3} x$