Simplify. $$\frac{1}{\sqrt{x}}+\frac{1}{1-\sqrt{x}}$$
Added by Justin A.
Step 1
The common denominator is $\sqrt{x}(1-\sqrt{x})$. Now, we rewrite the fractions with the common denominator: $$\frac{1}{\sqrt{x}}\cdot\frac{1-\sqrt{x}}{1-\sqrt{x}}+\frac{1}{1-\sqrt{x}}\cdot\frac{\sqrt{x}}{\sqrt{x}}$$ Now, we combine the Show more…
Show all steps
Close
Your feedback will help us improve your experience
Natalie Belcher and 51 other Algebra educators are ready to help you.
Ask a new question
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 numerator. $$ \sqrt{x+1}-\sqrt{x} $$
Yujie W.
Rationalize the numerator. $$ \sqrt{x^{2}+1}-x $$
Rationalize the numerator. $$\sqrt{x^{2}+1}-x$$
Piyush Kumar G.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD