Adding and subtracting radical expressions

Adding and subtracting radical expressions

• 1.
  OPERATIONS ON RADICALS
• 2.
  Mathematics Rewind
• 3.
  Give the index,radicand and simplify the following • 108 • 81 3 • 64 4 • 1 3 • 128 5
• 4.
  Adding and Subtracting RadicalExpressions
• 5.
  • Its reallylike adding or subtracting like terms in simplifying algebraic expressions, only this time, we need the SAME INDEX AND RADICAND TO SIMPLIFY.
• 6.
  STEP 1: SIMPLIFYTHE RADICAL IF POSSIBLE • Example: • 16 3 + 54 3 + 128 3 • = 2 2 3 + 3 2 3 + 4 2 3
• 7.
  STEP 2: ADDLIKE TERMS (IN TERMS OF INDICES AND RADICANDS) • 2 2 3 + 3 2 3 + 4 2 3 =9 2 3 FINAL ANSWER: 9 2 3
• 8.
  Another example • Simplify72 3 + 243 3 + 8 3 • = 23 ∗ 9 3 + 33 ∗ 9 3 + 233 • =2 9 3 + 3 9 3 +2 • = 2 + 5 9 3
• 9.
  REMEMBER! • 𝐴 +𝐵 ≠ 𝐴 + 𝐵 • If n and m are unequal, 𝑎𝑛 + 𝑏 𝑚 ≠ 𝑎 + 𝑏 𝑚+𝑛
• 10.
  NOW YOU TRY •( 40 3 + 625 3 ) • 7 4 + 567 4 • 648 3 − 24 3