Algebra Examples

$\sqrt{128 x^{1} \cdot 5}$

Step 1

Multiply $5$ by $128$ .

$\sqrt{640 x^{1}}$

Step 2

Simplify.

$\sqrt{640 x}$

Step 3

Rewrite $640 x$ as $8^{2} \cdot (10 x)$ .

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Step 3.1

Factor $64$ out of $640$ .

$\sqrt{64 (10) x}$

Step 3.2

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 10 x}$

Step 3.3

Add parentheses.

$\sqrt{8^{2} \cdot (10 x)}$

$\sqrt{8^{2} \cdot (10 x)}$

Step 4

Pull terms out from under the radical.

$8 \sqrt{10 x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$