Algebra Examples

$- 3 \sqrt{28} + (- 2 \sqrt{7})$

Step 1

Remove parentheses.

$- 3 \sqrt{28} - 2 \sqrt{7}$

Step 2

Simplify each term.

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Step 2.1

Rewrite $28$ as $2^{2} \cdot 7$ .

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Step 2.1.1

Factor $4$ out of $28$ .

$- 3 \sqrt{4 (7)} - 2 \sqrt{7}$

Step 2.1.2

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

$- 3 \sqrt{2^{2} \cdot 7} - 2 \sqrt{7}$

$- 3 \sqrt{2^{2} \cdot 7} - 2 \sqrt{7}$

Step 2.2

Pull terms out from under the radical.

$- 3 (2 \sqrt{7}) - 2 \sqrt{7}$

Step 2.3

Multiply $2$ by $- 3$ .

$- 6 \sqrt{7} - 2 \sqrt{7}$

$- 6 \sqrt{7} - 2 \sqrt{7}$

Step 3

Subtract $2 \sqrt{7}$ from $- 6 \sqrt{7}$ .

$- 8 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 8 \sqrt{7}$

Decimal Form:

$- 21.16601048 \dots$

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