Question
Rationalize the denominator.$$\frac{2(x-y)}{\sqrt{x}-\sqrt{y}}$$
Step 1
The complex conjugate of $\sqrt{x}-\sqrt{y}$ is $\sqrt{x}+\sqrt{y}$. So, we multiply the numerator and the denominator by $\sqrt{x}+\sqrt{y}$. $$\frac{2(x-y)}{\sqrt{x}-\sqrt{y}} \times \frac{\sqrt{x}+\sqrt{y}}{\sqrt{x}+\sqrt{y}}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Rationalize the denominator. $$\sqrt{\frac{2 x}{y}}$$
Preliminaries
Precalculus Review I
Rationalize each denominator. $$\frac{\sqrt{2 x}+y}{\sqrt{2 x}-y}$$
A Review of Basic Algebra
Polynomials
Rationalize the numerator. $$\sqrt{\frac{2 y}{x}}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD