Square Root
52 min 23 Examples
- Introduction to Video: Square Roots
- Properties of Square Roots
- Examples #1-6: Simplify the square root
- Examples #7-12: Simplify the variable square root
- Examples #13-18: Simplify the square root
- Examples #19-23: Simplify the square root by simplifying the radicand
Rational Exponents
1 hr 17 min 29 Examples
- Introduction to Video: Rational Exponents
- Understanding Rational Exponents and Examples #1-6: Convert each radicals to rational exponents
- Examples #7-12: Write in radical form
- The principal nth root property explained
- Examples #13-18: Simplify the radical
- Examples #19-29: Simplify each radical
Rationalizing
1 hr 2 min 19 Examples
- Introduction to Video: Rationalizing
- Rules for Simplifying Radicals and How to Rationalize the Denominator
- Examples #1-6: Rationalize the denominator and simplify
- Examples #7-12: Rationalize the denominator with variables and simplify
- Examples #13-19: Rationalize the denominator using rational exponents
Multiplying Radicals
1 hr 7 min 21 Examples
- Operations with Radicals: Adding, Subtracting and Multiplying
- Examples #1-4: Simplify by adding or subtracting radicals
- Examples #5-10: Add, Subtract or Multiply the radical expression
- Examples #11-14: Add or Multiply radicals with fractional radicands
- Examples #15-17: Perform the indicated operation and simplify
- Examples #18-21: Estimate the value of the square root
Conjugate Math
1 hr 13 min 15 Examples
- Introduction to Video: Conjugates
- Overview of how to rationalize radical binomials with the conjugate and Example #1
- Examples #2-5: Rationalize using the conjugate
- Examples #6-9: Rationalize using the conjugate
- Examples #10-13: Rationalize the denominator and Simplify the Algebraic Fraction
- Examples #14-15: Rationalize and perform the indicated operation
Solving Radical Equations
1 hr 15 min 22 Examples
- Introduction to Video: Solving Radical Equations
- Steps for solving equations involving radicals
- Examples #1-6: Solve the radical equation
- Examples #7-9: Solve the radical equation
- Solutions of Quadratic Equations with Examples #10-12
- Examples #13-16: Solve using radicals
- Examples #17-20: Solve for all solutions using radicals
- Examples #21-22: Solve the radical equation
Completing the Square
1 hr 17 min 11 Examples
- Introduction to Video: Completing the Square
- Steps for How to Ccomplete the Square with Examples #1-2
- Examples #3-4: Complete the Square for each expression
- Examples #5-7: Solve by Completing the Square
- Examples #8-9: Complete the square by transforming the equation
- Example #10: Complete the square by transforming the equation – two methods
- Example #11: Solve by Completing the square
Quadratic Formula
1 hr 9 Examples
- Introduction to Video: The Quadratic Formula
- Proving the Quadratic Formula by completing the square
- Examples #1-4: Solve using the quadratic formula
- Examples #5-7: Solve using the quadratic formula
- Examples #8-9: Transform and then solve using the quadratic formula
Pythagorean Theorem
36 min 9 Examples
- Pythagorean Theorem Proof and Formula
- Examples #1-6: Find the missing side length of the right triangle
- Example #7: Find the distance between two points using the Pythagorean Theorem
- Examples #8-9: Decide whether the side lengths indicate a right triangle or oblique triangle
Chapter Test
1 hr 42 min 33 Examples
- Examples #1-6: Simplify each radical
- Examples #7-13: Perform the radical operation and simplify
- Examples #14-17: Rationalize
- Examples #18-20: Rationalize using the conjugate
- Examples #21-24: Solve the radical equation
- Examples #25-27: Solve by completing the square
- Examples #28-30: Solve by using the quadratic formula
- Examples #31-33: Solve for the missing side of the right triangle
