Arjun claims: 'The sum of any two irrational numbers is always irrational.' Give a single example that shows his claim is FALSE, and pick the correct sum. Consider the numbers 5 + √3 and 5 - √3.

Question

Accepted Answer

Their sum is 10, which is rational, so the claim is false. (5 + √3) + (5 - √3) = 10, a rational number, even though both addends are irrational. So Arjun's claim is false.

Arjun claims: 'The sum of any two irrational numbers is always irrational.'
Give a single example that shows his claim is FALSE, and pick the correct sum.
Consider the numbers $5 + 3$ and $5 - 3$ .

Step-by-Step Solution

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More Class 9 Rational and Irrational Numbers practice

Arjun claims: 'The sum of any two irrational numbers is always irrational.'Give a single example that shows his claim is FALSE, and pick the correct sum.Consider the numbers 5+3​ and 5−3​.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Rational and Irrational Numbers practice

Arjun claims: 'The sum of any two irrational numbers is always irrational.'
Give a single example that shows his claim is FALSE, and pick the correct sum.
Consider the numbers $5 + 3$ and $5 - 3$ .