The number v is irrational. Which statement about v−47 is true?Choices:(A)v−47 is rational.(B)v−47 is irrational.(C)v−47 can be rational or irrational, depending on the value of v.
Q. The number v is irrational. Which statement about v−47 is true?Choices:(A)v−47 is rational.(B)v−47 is irrational.(C)v−47 can be rational or irrational, depending on the value of v.
Identify Type of Number: Identify whether 47 is a rational or irrational number.47 is a non-perfect square.47 is an irrational number.
Properties of Irrational Numbers: Consider the properties of irrational numbers. The sum or difference of an irrational number and a rational number is irrational. The sum or difference of two irrational numbers can be rational if they are additive inverses of each other, or irrational otherwise.
Analyze Given Expressions: Analyze the given expressions with respect to the properties of irrational numbers. v is an irrational number. 47 is an irrational number. If v=47, then v−47=0, which is rational. If v=47, then v−47 is irrational. Therefore, v−47 can be rational or irrational, depending on the value of v.
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