give two irrational numbers whose sum is an irrational number and justify.
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Normally, sum of any two irrational numbers is an irrational number. However, consider √2 and -√2. Their product is -2 and sum is 0, both of which are rational numbers. Thus, there can be numbers whose sum and product both are rationals.
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Let first irrational be √2 and 2nd be also √2.
√2+√2=2√2
This shows that sum of two irrational number is always irrational.
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