Rationalise the \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}
Added by Jeffrey W.
Close
Step 1
So, we have: (root 5 + root 3) * (root 5 + root 3) / ((root 5 - root 3) * (root 5 + root 3)) Simplifying the numerator, we get: 5 + 2 * root 15 + 3 / ((root 5) * (root 5) - (root 3) * (root 3)) Simplifying the denominator, we get: 2 Show more…
Show all steps
Your feedback will help us improve your experience
Darshan Maheshwari and 88 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
Multiply the radical expressions. $$(5 \sqrt{s}-\sqrt{t})(\sqrt{s}+5+6 \sqrt{t})$$
Radicals and Complex Numbers
Multiplication of Radicals
5 + root 3 upon 7 - 4 root 3 = a+b root 3
Mirza .
Which of the following is equal to the difference $\sqrt{3}-5 \sqrt{9} ?$ $$ f.\quad \sqrt{3}-15 $$ $$ g.\quad -4 \sqrt{3} $$ $$ h.\quad \sqrt{3}-3 $$ $$ j.\quad 3+2 \sqrt{5} $$
Radicals and More Connections to Geometry
Operations with Radical Expressions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD