Simplify the Radical Expression - square root of 19^7

$- \sqrt{19^{7}}$

Raise $19$ to the power of $7$ .

$- \sqrt{893871739}$

Rewrite $893871739$ as $6859^{2} \cdot 19$ .

Factor $47045881$ out of $893871739$ .

$- \sqrt{47045881 (19)}$

Rewrite $47045881$ as $6859^{2}$ .

$- \sqrt{6859^{2} \cdot 19}$

Pull terms out from under the radical.

$- (| 6859 | \sqrt{19})$

The absolute value is the distance between a number and zero. The distance between $0$ and $6859$ is $6859$ .

$- (6859 \sqrt{19})$

Multiply $6859$ by $- 1$ .

$- 6859 \sqrt{19}$

The result can be shown in multiple forms.

Exact Form:

$- 6859 \sqrt{19}$

Decimal Form:

$- 29897.68785374 \dots$