Basic Math Examples

$\frac{3}{z - \sqrt{z}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{z}$ as $z^{\frac{1}{2}}$ .

$\frac{3}{z - z^{\frac{1}{2}}}$

Step 2

Factor $z^{\frac{1}{2}}$ out of $z - z^{\frac{1}{2}}$ .

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Step 2.1

Raise $z$ to the power of $1$ .

$\frac{3}{z^{1} - z^{\frac{1}{2}}}$

Step 2.2

Factor $z^{\frac{1}{2}}$ out of $z^{1}$ .

$\frac{3}{z^{\frac{1}{2}} z^{\frac{1}{2}} - z^{\frac{1}{2}}}$

Step 2.3

Factor $z^{\frac{1}{2}}$ out of $- z^{\frac{1}{2}}$ .

$\frac{3}{z^{\frac{1}{2}} z^{\frac{1}{2}} + z^{\frac{1}{2}} \cdot - 1}$

Step 2.4

Factor $z^{\frac{1}{2}}$ out of $z^{\frac{1}{2}} z^{\frac{1}{2}} + z^{\frac{1}{2}} \cdot - 1$ .

$\frac{3}{z^{\frac{1}{2}} (z^{\frac{1}{2}} - 1)}$