1. Multiplication Property of Radicals Let a and b represent real numbers such that and are both real. Then,

2. Commutative and associative properties of multiplication Multiplication property of radicals Commutative and associative properties of multiplication Multiplication property of radicals

3. Apply the distributive property Multiplication property of radicals Simplify the radical

4. Apply the distributive property. Foil Multiplication property of radicals Simplify radicals. Combine like radicals. Combine like terms

6. Apply the distributive property or Foil. Simplify

7. Apply the distributive property or Foil. Simplify

8. This expression is in the form (a-b)(a+b), difference of squares. Where a = 2√c and b = 3√d Simplify a² - b² Apply the formula (a + b)(a – b) = a² - b²