Precalculus Examples

$\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}$

Step 1

Factor out the GCF of $\frac{1}{4}$ from $\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}$ .

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Step 1.1

Factor out the GCF of $\frac{1}{4}$ from each term in the polynomial.

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Step 1.1.1

Factor out the GCF of $\frac{1}{4}$ from the expression $\frac{\sqrt{2}}{4}$ .

$\frac{1 (\sqrt{2})}{4} - \frac{\sqrt{6}}{4}$

Step 1.1.2

Factor out the GCF of $\frac{1}{4}$ from the expression $- \frac{\sqrt{6}}{4}$ .

$\frac{1 (\sqrt{2})}{4} + \frac{1 (- \sqrt{6})}{4}$

Step 1.2

Since all the terms share a common factor of $\frac{1}{4}$ , it can be factored out of each term.

$\frac{1 (\sqrt{2} - \sqrt{6})}{4}$

Step 2

The polynomial cannot be factored using the specified method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the specified method.