Is the sum of two irrational numbers always irrational? Explain your answer with example.
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The sum of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
Step-by-step explanation:
no, sum of two irrationals need but be irrational always.
example: √2 and -√2 are irrationals
their sum: √2+(-√2)=√2-√2=0
zero is rational number.
hence, justified.
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