Simplify - square root of 20

$- \sqrt{20}$

Step 1

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

Factor $4$ out of $20$ .

$- \sqrt{4 (5)}$

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

$- \sqrt{2^{2} \cdot 5}$

$- \sqrt{2^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$- (2 \sqrt{5})$

Step 3

Multiply $2$ by $- 1$ .

$- 2 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{5}$

Decimal Form:

$- 4.47213595 \dots$

Related Questions