Question
Download Solution PDFIf we add two irrational numbers the resulting number
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- Rational numbers are those numbers that show the ratio of numbers or the number which we get after dividing it with any two integers.
- Irrational numbers are those numbers that we can not represent in the form of simple fractions a/b, and b is not equal to zero.
- When we add any two rational numbers then their sum will always remain rational.
- But if we add an irrational number with a rational number then the sum will always be an irrational number.
Explanation:
Case:1 Take two irrational numbers π and 1 - π
⇒ Sum = π +1 - π = 1
Which is a rational number.
Case:2 Take two irrational numbers π and √2
⇒ Sum = π + √2
Which is an irrational number.
Hence, a sum of two irrational numbers may be a rational or an irrational number.
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