Simplify ( square root of 4x^4)/( square root of x^4)

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

Step 1

Combine $\sqrt{4 x^{4}}$ and $\sqrt{x^{4}}$ into a single radical.

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

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{4 x^{4}}{x^{4}}$ by cancelling the common factors.

Cancel the common factor.

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

Rewrite the expression.

$\sqrt{\frac{4}{1}}$

Divide $4$ by $1$ .

$\sqrt{4}$

Step 3

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

$\sqrt{2^{2}}$

Step 4

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

$2$