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The number yy is rational. Which statement about 35+y\sqrt{35} + y is true?\newlineChoices:\newline(A)35+y\sqrt{35} + y is rational.\newline(B)35+y\sqrt{35} + y is irrational.\newline(C)35+y\sqrt{35} + y can be rational or irrational, depending on the value of yy.

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Q. The number yy is rational. Which statement about 35+y\sqrt{35} + y is true?\newlineChoices:\newline(A)35+y\sqrt{35} + y is rational.\newline(B)35+y\sqrt{35} + y is irrational.\newline(C)35+y\sqrt{35} + y can be rational or irrational, depending on the value of yy.
  1. Identify Type of Number: Identify whether 35\sqrt{35} is a rational or irrational number.3535 is a non-perfect square, which means that 35\sqrt{35} is an irrational number.
  2. Properties of Numbers: Understand the properties of rational and irrational numbers. Adding a rational number to an irrational number results in an irrational number. This is because the sum cannot be expressed as a ratio of two integers.
  3. Apply Property: Apply the property to the given problem.\newlineSince yy is rational and 35\sqrt{35} is irrational, the sum 35+y\sqrt{35} + y will be irrational.

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