Question

given that √2 is irrational,prove that (5+√3) is an irrational number

Answer 1

as root 3 is an irrational no. so if any constant is added it would be an irrational no.
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hope u understood.....

Answer 2

we have to prove (5+root 3) is irrational
let us assume the opposite.
i.e, 5-root 3 is rational
hense 5-root 3 can be written in the form of a/b
where a and b are co-prime no.
may be solve kr logi aage