Is the sum of two irrational numbers always irrational? Is the product of two irrationals always irrational?
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1. No.
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Consider two irrational numbers (4-root 3) and (4+ root 3).
(4 - root 3) ( 4 + root 3)
= 16 - 3
= 13.
Therefore, 13 is not irrational.
2. No
The sum of two irrational numbers will not be irrational always.
0 is a rational number.
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