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The number tt is irrational. Which statement about t+8t + 8 is true?\newlineChoices:\newline(A)t+8t + 8 is rational.\newline(B)t+8t + 8 is irrational.\newline(C)t+8t + 8 can be rational or irrational, depending on the value of tt.

Full solution

Q. The number tt is irrational. Which statement about t+8t + 8 is true?\newlineChoices:\newline(A)t+8t + 8 is rational.\newline(B)t+8t + 8 is irrational.\newline(C)t+8t + 8 can be rational or irrational, depending on the value of tt.
  1. Identify Number 88: Identify the nature of the number 88. 88 is a whole number, which means it is a rational number.
  2. Properties of Numbers: Understand the properties of irrational and rational numbers. The sum of a rational number and an irrational number is always irrational.
  3. Apply Property to Problem: Apply the property to the given problem.\newlineSince tt is irrational and 88 is rational, their sum t+8t + 8 must be irrational.
  4. Choose Correct Statement: Choose the correct statement based on the property.\newlineThe correct statement about t+8t + 8, given that tt is irrational, is that t+8t + 8 is irrational.

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