Finite Math Examples

$\sqrt{x y} \cdot (2 \sqrt{x})$

Step 1

Rewrite using the commutative property of multiplication.

$2 \sqrt{x y} \sqrt{x}$

Step 2

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

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Step 2.1

Combine using the product rule for radicals.

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

Step 2.2

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

$2 \sqrt{x^{1} x y}$

Step 2.3

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

$2 \sqrt{x^{1} x^{1} y}$

Step 2.4

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

$2 \sqrt{x^{1 + 1} y}$

Step 2.5

Add $1$ and $1$ .

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

Step 3

Pull terms out from under the radical.

$2 x \sqrt{y}$