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The number yy is irrational. Is y+7y+7 rational or irrational?

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Full solution

Q. The number yy is irrational. Is y+7y+7 rational or irrational?
  1. Evaluate sum of yy: Evaluate the sum of yy and 77.y+7y + 7
  2. Identify nature of sum: Identify the nature of y+7y + 7. Since yy is irrational, adding a rational number (7)(7) to it results in an irrational number.

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