Question

give an example of two irrational numbers whose difference is an irrational number also sum is irrational number and product is any irrational number

Answer 1

your answer is this of your question

Answer 2

Step-by-step explanation:

$Let\:a= 5\sqrt{2}\:and \: b=3\sqrt{2} \:\\are \: irrational \: numbers$

$i) Difference \: of \: a \: and \: b \\= a-b \\=5\sqrt{2}-3\sqrt{2}\\=2\sqrt{2} \: (Irrational)$

$ii) Sum\: of \: the \: numbers \\=5\sqrt{2}+3\sqrt{2}\\=8\sqrt{2}\: (Irrational)$

$Let \: p = \sqrt{2}\:and \: q=\sqrt{3}\\are\: two \: irrational\: numbers$

$iii) Product \: of \: p \: and \:q \\=\sqrt{2}\times \sqrt{3}\\=\sqrt{6}\: (Irrational)$

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