COT - RADICALS.pptx

COT - RADICALS.pptx

• 1.
  WARM UP ACTIVITY
• 2.
  SIMPLIFY THE FOLLOWINGRADICAL EXPRESSIONS 1) 25 2) 3 27 3) 18 4) 75 5) 3 32
• 3.
  ADDITION and SUBTRACTION of RADICAL EXPRESSIONS + −
• 4.
  RADICALS Similar Radicals 32 and 4√2 6 𝑥 and −2 𝑥 𝑦 3 𝑥2𝑦 and 5𝑦 3 𝑥2𝑦 Dissimilar Radicals 2 and 15 6 𝑥 and 6𝑥 3 2 and 3 2
• 5.
  ADDING/SUBTRACTING SIMILAR RADICALS Combining likeradicals is similar to combining like terms. Helpful Hint
• 6.
  MORE EXAMPLES! III. 𝑦 3 𝑥2𝑦 +5𝑦 3 𝑥2𝑦 = (𝑦 + 5𝑦) 3 𝑥2𝑦 = 6𝑦 3 𝑥2𝑦 II. 𝑚 − 7 𝑚 = (1 − 7) 𝑚 = −6 𝑚 1. 9 3 − 4 3 = (9 − 4) 3 = 5 3
• 7.
  TRY THIS!!! III. 6𝑎 3 𝑐𝑑2 +3𝑎 3 𝑐𝑑2 = (6𝑎 + 3𝑎) 3 𝑐𝑑2 = 9𝑎 3 𝑐𝑑2 II. 4 𝑛 + 8 𝑛 = (4 + 8) 𝑛 = 12 𝑚 1. 5 7 − 6 7 = (5 − 6) 7 = − 7
• 8.
  ADDING/SUBTRACTING DISSIMILAR RADICALS Factor theradicands using perfect squares. Product Property of Radicals Simplify. Combine similar radicals
• 9.
  PERFORM THE INDICATEDOPERATION (𝟐𝟓)(𝟐) + (𝟏𝟔)(𝟐) 𝟓𝟎 + 𝟑𝟐 𝟗 𝟐 𝟓 𝟐 + 𝟒 𝟐 𝟐𝟓 𝟐 + 𝟏𝟔 𝟐 Factor the radicands using perfect squares. Product Property of Radicals Simplify. Combine similar radicals
• 10.
  PERFORM THE INDICATEDOPERATION 𝟔 𝟖 + 𝟐 𝟓𝟎 − 𝟐 𝟑𝟐 𝟔 𝟒 𝟐 + 𝟐 𝟐𝟓 𝟐 − 𝟐 𝟏𝟔 𝟐 𝟔 (𝟒)(𝟐) + 𝟐 (𝟐𝟓)(𝟐) − 𝟐 (𝟏𝟔)(𝟐) 𝟔(𝟐) 𝟐 + 𝟐(𝟓) 𝟐 − 𝟐(𝟒) 𝟐 𝟏𝟐 𝟐 + 𝟏𝟎 𝟐 − 𝟖 𝟐 (𝟏𝟐 + 𝟏𝟎 − 𝟖) 𝟐 𝟏𝟒 𝟐
• 11.
  TRY THIS!!!
• 12.
  APPLICATION: Find the perimeterof a rectangular garden whose length is 3 𝑏 inches and whose width is 2 𝑏 inches. Give your answer as a radical expression in simplest form. The perimeter is𝟏𝟎 𝟓in. 𝑷 = 𝟐(𝑳 + 𝑾)
• 13.
  Find the perimeterof the triangular roof. Give the answer as a radical expression in simplest form. 𝑷 = 𝑺𝟏 + 𝑺𝟐 + 𝑺𝟑 Write an expression for perimeter. Factor 20 using a perfect square. Product Property of Square Roots. Simplify. Combine like radicals.
• 14.
  EVALUATION: ADD ORSUBTRACT 1) 8 6 + 22 6 2) 2 − 4 2 3) 11 𝑎𝑏 − 5 𝑎𝑏 + 3 𝑎𝑏 4) 2 3 + 4 12 5) 45𝑥 − 20𝑥 + 4 5𝑥
• 15.
  ASSIGNMENT: FIND THEPERIMETER OF THE TRAPEZOID. GIVE THE ANSWER AS A RADICAL EXPRESSION IN SIMPLEST FORM.