State whether the number (√2-√3)(√2+√3) is rational or irrational. Justify
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Answered by
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Answer:
rational number.
Step-by-step explanation:
(a+b)(a-b)=a^2-b^2
(root 2 - root 3)(root 2 + root 3)=(root 2)^2-(root 3)^2
=2-3=-1
-1 is rational number hence,
(root 2-root 3)(root 2 + root 3) is also rational number.
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