MODULE 6

• Discipline

  Good Taste<|>Excellence
• Writer: Editha B. Cajilig
• Cover Illustrator: Joel J. Estudillo
• MATHEMATICS Quarter 2: Module 6 Simplifying Radical Expressions
• Department of Education National Capital Region SCHOOLS DIVISION OFFICE MARIKINA CITY
• Radical expression


  An expression containing a square root, cube root, or other root
• Radical expressions need to be in simplified form, just like any other algebraic expressions
• Radical expression in simplest form


  • No perfect nth power factors of the radicand other than 1
  • No radicand contains a fraction
  • No denominator contains a radical sign
• Simplifying radical expressions


  1. Removing perfect nth powers

  2. Reducing the index to the lowest possible order

  3. Simplifying a radical expression with a fraction under the radical sign

  4. Rationalizing the denominator
• Rationalizing the denominator involves finding a radical expression as a multiplier to both the numerator and denominator that will make the denominator a perfect power
• A radical expression is in its simplest form when it satisfies the three key features
• The task is to produce 10 pieces of drill/flash cards containing radical expressions which are not simplified, 10 pieces of drill/flash cards containing the simplified form of the first set, and show the complete solution at the back of the first set
• The role is to consider yourself as a teacher preparing visual aids to enhance and enrich students' learning about simplifying radical expressions
• NO nth power factors of the radicand other than 1
• NO radicand contains a fraction
• NO radicand contains a radical sign
• To produce (a) ten (10) pieces of drill/flash cards containing radical expressions which are not simplified
• To produce (b) ten (10) pieces drill/flash cards containing the simplified form of the first set of flash cards
• To show the complete solution at the back of (a)
• Teacher


  Preparing for a visual aid for your class, to enhance and enrich students' learning about simplifying radical expressions
• Your classmates and family members will be your audience
• You are teaching simplifying radical expressions and you have to master how to simplify, for you to be able to share and teach what you've learned
• To practice simplifying radical expressions using the flash cards you make
• You will be graded with the rubric given
• √625^(1/4) is in simplified form
• √500 lies between what two consecutive whole numbers
• √81x^5y^4 ^(1/4) in simplified form
• Simplest form of √20b^2/81a^2
• Rationalize the denominator. √(5x/3y)^(1/3)
• Simplest form of √3x . √12x
• Simplest form of √(-250x^3y^4z^5)^(1/3)
• Rationalize the denominator. 11√6x/√75
• Which radical expression is not simplified
• Multiplier to simplify the radical expression √12x^5/7y^3
• Simplify each radical expression
• If a radical expression contains a radical in the denominator, then it is not yet simplified. To simplify this expression, you need to
• √500^(1/3) in simplified form
• Simplified form of √5/√5^(1/4)
• Which statement about √3/√3^(1/3) is true
• Simplified form of √2/27