Pre-Algebra Examples

$\frac{\sqrt{128 d}}{2 \sqrt{2}}$

Step 1

Combine $\sqrt{128 d}$ and $\sqrt{2}$ into a single radical.

$\frac{\sqrt{\frac{128 d}{2}}}{2}$

Step 2

Cancel the common factor of $128$ and $2$ .

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Step 2.1

Factor $2$ out of $128 d$ .

$\frac{\sqrt{\frac{2 (64 d)}{2}}}{2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2$ .

$\frac{\sqrt{\frac{2 (64 d)}{2 (1)}}}{2}$

Step 2.2.2

Cancel the common factor.

$\frac{\sqrt{\frac{2 (64 d)}{2 \cdot 1}}}{2}$

Step 2.2.3

Rewrite the expression.

$\frac{\sqrt{\frac{64 d}{1}}}{2}$

Step 2.2.4

Divide $64 d$ by $1$ .

$\frac{\sqrt{64 d}}{2}$

$\frac{\sqrt{64 d}}{2}$

$\frac{\sqrt{64 d}}{2}$

Step 3

Simplify the numerator.

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Step 3.1

Rewrite $64$ as $8^{2}$ .

$\frac{\sqrt{8^{2} d}}{2}$

Step 3.2

Pull terms out from under the radical.

$\frac{8 \sqrt{d}}{2}$

$\frac{8 \sqrt{d}}{2}$

Step 4

Cancel the common factor of $8$ and $2$ .

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Step 4.1

Factor $2$ out of $8 \sqrt{d}$ .

$\frac{2 (4 \sqrt{d})}{2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (4 \sqrt{d})}{2 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (4 \sqrt{d})}{2 \cdot 1}$

Step 4.2.3

Rewrite the expression.

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

Step 4.2.4

Divide $4 \sqrt{d}$ by $1$ .

$4 \sqrt{d}$

$4 \sqrt{d}$

$4 \sqrt{d}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$