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A2.N.5 Rationalizing a denominator involving algebraic radical expression. A better understanding of rationalizing the denominator from Amna’s conference. Amna’s Confusion. Amna was working on test corrections with Sumaiya and she was confused as to how to complete this problem:.
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A2.N.5 Rationalizing a denominator involving algebraic radical expression A better understanding of rationalizing the denominator from Amna’s conference
Amna’s Confusion Amna was working on test corrections with Sumaiya and she was confused as to how to complete this problem: Rationalize the denominator and simplify the fraction: Make rational
What AmnaKnow’s Amna knew she needed to multiply the denominator by the conjugate X
Amna’s Challenge ) ) ) ) Amna was consistently making mistakes when multiplying these two expressions till we discovered a pattern. X X This expression has the same pattern as one from algebra: (x - 2)(x + 2) When we simplify this expression we get: X2 – 2x + 2x – 4 X2 – 4 This is the difference of two squares
A More Simple Way ) ) X 2 2 - - 13 12
Take Away Recognizing patterns will make you able to solve problems more efficiently without making mistakes. ) ) X 2 2 - - 13 12