Finite Math Examples

$\sqrt{x + 1} - \sqrt{x}$

Step 1

Factor out the GCF of $x$ from $\sqrt{x + 1} - \sqrt{x}$ .

Tap for more steps...

Step 1.1

Factor out the GCF of $x$ from each term in the polynomial.

Tap for more steps...

Step 1.1.1

Factor out the GCF of $x$ from the expression $\sqrt{x + 1}$ .

$x (\frac{\sqrt{x + 1}}{x}) - \sqrt{x}$

Step 1.1.2

Factor out the GCF of $x$ from the expression $- \sqrt{x}$ .

$x (\frac{\sqrt{x + 1}}{x}) + x (- \frac{\sqrt{x}}{x})$

Step 1.2

Since all the terms share a common factor of $x$ , it can be factored out of each term.

$x (\frac{\sqrt{x + 1}}{x} - \frac{\sqrt{x}}{x})$

Step 2

Combine the numerators over the common denominator.

$x (\frac{\sqrt{x + 1} - \sqrt{x}}{x})$