Simplify - square root of 4x^4

$- \sqrt{4 x^{4}}$

Rewrite $4 x^{4}$ as ${(2 x^{2})}^{2}$ .

$- \sqrt{{(2 x^{2})}^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$- (2 x^{2})$

Multiply $2$ by $- 1$ .

$- 2 x^{2}$

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