Simplify square root of 3x* square root of x

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

Step 1

Multiply $\sqrt{3 x} \sqrt{x}$ .

Combine using the product rule for radicals.

$\sqrt{3 x \cdot x}$

Raise $x$ to the power of $1$ .

$\sqrt{3 (x^{1} x)}$

Raise $x$ to the power of $1$ .

$\sqrt{3 (x^{1} x^{1})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt{3 x^{1 + 1}}$

Add $1$ and $1$ .

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

Step 2

Reorder $3$ and $x^{2}$ .

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

Step 3

Pull terms out from under the radical.

$x \sqrt{3}$