Evaluate - square root of 1900

$- \sqrt{1900}$

Step 1

Rewrite $1900$ as $10^{2} \cdot 19$ .

Factor $100$ out of $1900$ .

$- \sqrt{100 (19)}$

Rewrite $100$ as $10^{2}$ .

$- \sqrt{10^{2} \cdot 19}$

$- \sqrt{10^{2} \cdot 19}$

Step 2

Pull terms out from under the radical.

$- (10 \sqrt{19})$

Step 3

Multiply $10$ by $- 1$ .

$- 10 \sqrt{19}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 10 \sqrt{19}$

Decimal Form:

$- 43.58898943 \dots$

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