Simplify the Radical Expression square root of 11x square root of 2x

$\sqrt{11 x} \sqrt{2 x}$

Step 1

Multiply $\sqrt{11 x} \sqrt{2 x}$ .

Combine using the product rule for radicals.

$\sqrt{11 x (2 x)}$

Multiply $2$ by $11$ .

$\sqrt{22 x \cdot x}$

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

$\sqrt{22 (x^{1} x)}$

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

$\sqrt{22 (x^{1} x^{1})}$

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

$\sqrt{22 x^{1 + 1}}$

Add $1$ and $1$ .

$\sqrt{22 x^{2}}$

Step 2

Reorder $22$ and $x^{2}$ .

$\sqrt{x^{2} \cdot 22}$

Step 3

Pull terms out from under the radical.

$| x | \sqrt{22}$