Question

show that 3 + 7√2 is a irrational number. Is the sum of two irrational numbers always irrational numbers

Answer 1

yes,it is irrational number and sum of two irrational numbers is irrational number because in sum of two irrational numbers are answer of irrational number ex=2√2+4√2=6√2 and 5√7+9√5=5√7+9√5
if you do multiply same root nuo to same root number it converts to rational number ex=4√3×4√3=16×3=48 and when you multiply by different root number to different root number ans is irrational number ex=5√7×2√3=10√21

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