Algebra Examples

$\sqrt{\frac{64 x^{8}}{16}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Reduce the expression $\frac{64 x^{8}}{16}$ by cancelling the common factors.

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Step 1.1.1

Factor $16$ out of $64 x^{8}$ .

$\sqrt{\frac{16 (4 x^{8})}{16}}$

Step 1.1.2

Factor $16$ out of $16$ .

$\sqrt{\frac{16 (4 x^{8})}{16 (1)}}$

Step 1.1.3

Cancel the common factor.

$\sqrt{\frac{16 (4 x^{8})}{16 \cdot 1}}$

Step 1.1.4

Rewrite the expression.

$\sqrt{\frac{4 x^{8}}{1}}$

Step 1.2

Divide $4 x^{8}$ by $1$ .

$\sqrt{4 x^{8}}$

Step 2

Rewrite $4 x^{8}$ as ${(2 x^{4})}^{2}$ .

$\sqrt{{(2 x^{4})}^{2}}$

Step 3

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

$2 x^{4}$