Algebra Examples

$32 x \sqrt{5} - 18 x \sqrt{20}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $20$ as $2^{2} \cdot 5$ .

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Step 1.1.1

Factor $4$ out of $20$ .

$32 x \sqrt{5} - 18 x \sqrt{4 (5)}$

Step 1.1.2

Rewrite $4$ as $2^{2}$ .

$32 x \sqrt{5} - 18 x \sqrt{2^{2} \cdot 5}$

$32 x \sqrt{5} - 18 x \sqrt{2^{2} \cdot 5}$

Step 1.2

Pull terms out from under the radical.

$32 x \sqrt{5} - 18 x (2 \sqrt{5})$

Step 1.3

Multiply $2$ by $- 18$ .

$32 x \sqrt{5} - 36 x \sqrt{5}$

$32 x \sqrt{5} - 36 x \sqrt{5}$

Step 2

Subtract $36 x \sqrt{5}$ from $32 x \sqrt{5}$ .

$- 4 x \sqrt{5}$

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