Which option is a correct counterexample showing that the sum of two irrational numbers is not always irrational?
Answer and explanation
Correct answer: (\sqrt{8}) and (-\sqrt{8})
(\sqrt{8}+(-\sqrt{8})=0), which is rational. In exams one counterexample is enough to disprove a universal statement.
Frequently asked questions
What is the correct answer to this question?
(\sqrt{8}) and (-\sqrt{8})
Why is this the correct answer?
(\sqrt{8}+(-\sqrt{8})=0), which is rational. In exams one counterexample is enough to disprove a universal statement.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.