Question
Rewrite the expression by rationalizing its numerator.$$\frac{\sqrt{z-3}-\sqrt{z}}{3}$$
Step 1
$$\frac{\sqrt{z-3}-\sqrt{z}}{3} \times \frac{\sqrt{z-3}+\sqrt{z}}{\sqrt{z-3}+\sqrt{z}}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Matthew Biollo and 59 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 denominator. $$ \frac{\sqrt{z}}{\sqrt{z}-3} $$
Basic Concepts from Algebra and Geometry
Radical Expressions
Rewrite the difference quotient by rationalizing the numerator. $$\frac{\sqrt{z-3}-\sqrt{z}}{3}$$
Prerequisites
Rational Expressions
Rewrite each expression by rationalizing the denominator. $$ \frac{\sqrt{3}}{3 \sqrt{2}+\sqrt{3}} $$
Rules for Exponents and the Reasons for Them
Fractional Exponent and Radical Expressions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD