When we have two rational numbers, say 2 and 3, we can easily find a rational number between them. Can you find two irrational numbers between 2 and 3?
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When we have two rational numbers, say 2 and 3, we can easily find a rational number between them. Can you find two irrational numbers between 2 and 3?
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Answer:
Let x be the irrational number between two rational numbers 2 – √3 and 5 – √3. Then we get,
2 – √3 < x < 5 – √3
⇒ 2 < x + < √3 < 5
We see that x + √3 is an irrational number between 2 – √3 and 5 – √3 where 2 – √3 < x < 5 – √3.
Answer:
When we have two rational numbers, say 2 and 3, we can easily find a rational number between them. Can you find two irrational numbers between 2 and 3?