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If (\sqrt{2}+x) is a rational number and (x) is a real number, which statement about (x) is definitely true?
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Answer and explanation
Correct answer: (x) is irrational
If (x) were rational then (\sqrt{2}+x) would be irrational. So (x) must be irrational; remember the sum rule for rational and irrational numbers.
Frequently asked questions
What is the correct answer to this question?
(x) is irrational
Why is this the correct answer?
If (x) were rational then (\sqrt{2}+x) would be irrational. So (x) must be irrational; remember the sum rule for rational and irrational numbers.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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