Evaluate - square root of 28

$- \sqrt{28}$

Step 1

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

Factor $4$ out of $28$ .

$- \sqrt{4 (7)}$

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

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

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

Step 2

Pull terms out from under the radical.

$- (2 \sqrt{7})$

Step 3

Multiply $2$ by $- 1$ .

$- 2 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{7}$

Decimal Form:

$- 5.29150262 \dots$

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