Algebra Examples

$(2 \sqrt{8} + 3 \sqrt{5})$

Step 1

Remove parentheses.

$2 \sqrt{8} + 3 \sqrt{5}$

Step 2

Simplify each term.

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Step 2.1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 2.1.1

Factor $4$ out of $8$ .

$2 \sqrt{4 (2)} + 3 \sqrt{5}$

Step 2.1.2

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

$2 \sqrt{2^{2} \cdot 2} + 3 \sqrt{5}$

$2 \sqrt{2^{2} \cdot 2} + 3 \sqrt{5}$

Step 2.2

Pull terms out from under the radical.

$2 (2 \sqrt{2}) + 3 \sqrt{5}$

Step 2.3

Multiply $2$ by $2$ .

$4 \sqrt{2} + 3 \sqrt{5}$

$4 \sqrt{2} + 3 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{2} + 3 \sqrt{5}$

Decimal Form:

$12.36505818 \dots$

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