Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
Evaluate the radical expression: √1/16
Evaluate the radical expression: √1/16
1/4
Evaluate the radical expression: √145
Evaluate the radical expression: √145
12.04
Evaluate the radical expression: −√64
Evaluate the radical expression: −√64
-8
Simplify √32
Simplify √32
Signup and view all the answers
Simplify √25x^8
Simplify √25x^8
Signup and view all the answers
Simplify √9x^10
Simplify √9x^10
Signup and view all the answers
Simplify (16/25)^1/2
Simplify (16/25)^1/2
Signup and view all the answers
Multiply and simplify the radical expressions: (√7 + 3)(√7 + 6)
Multiply and simplify the radical expressions: (√7 + 3)(√7 + 6)
Signup and view all the answers
Solve the following radical equation: 1 = √−7 − 2z
Solve the following radical equation: 1 = √−7 − 2z
Signup and view all the answers
Solve the following radical equation: √4 − z = −5
Solve the following radical equation: √4 − z = −5
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Radical Expressions and Their Evaluations
- ( \sqrt{\frac{1}{16}} = \frac{1}{4} )
- ( \sqrt{145} \approx 12.04 )
- ( -\sqrt{64} = -8 )
Simplifying Radical Expressions
- ( \sqrt{32} ) simplifies to ( 4\sqrt{2} )
- ( \sqrt{25x^8} ) simplifies to ( 5x^4 )
- ( \sqrt{9x^{10}} ) simplifies to ( 3x^5 )
- ( \left(\frac{16}{25}\right)^{\frac{1}{2}} = \frac{4}{5} )
Operations with Radical Expressions
- Multiply and simplify:
- ( (\sqrt{7} + 3)(\sqrt{7} + 6) = 25 + 9\sqrt{7} )
Solving Radical Equations
- For ( 1 = \sqrt{-7} - 2z ), the solution is ( z = -4 )
- The equation ( \sqrt{4} - z = -5 ) has no solution, indicating a contradiction.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
