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

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

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

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

) ) 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

) ) X 2 2 - 25 - 13 12

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

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