Simplify -3 square root of 28+(-2 square root of 7)

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

Remove parentheses.

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

Simplify each term.

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

Factor $4$ out of $28$ .

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

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

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

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

Pull terms out from under the radical.

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

Multiply $2$ by $- 3$ .

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

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

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

$- 8 \sqrt{7}$

The result can be shown in multiple forms.

Exact Form:

$- 8 \sqrt{7}$

Decimal Form:

$- 21.16601048 \dots$

Related Questions