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A better understanding of rationalizing the denominator from Amna’s conference

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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

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Amna knew she needed to multiply the denominator by the conjugate X

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) ) X Amna was consistently making mistakes when multiplying these two expressions till we discovered a pattern. ) ) X This expression has the same pattern as one from algebra: (x - 2)(x + 2) When we simplify this expression we get: X 2 – 2x + 2x – 4 X 2 – 4 This is the difference of two squares

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) ) X 2 2 - 25 - 13 12

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Recognizing patterns will make you able to solve problems more efficiently without making mistakes. ) ) X 2 2 - 25 - 13 12

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8.5 – Add and Subtract Rational Expressions. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute.

8.5 – Add and Subtract Rational Expressions. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute.

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