show that 3+√5 is irrational
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see brother
Step-by-step explanation:
let us assume that 3+underroot5 is rational
now we can write 3+under root 5 = a/b , where a and b" are coming prime.
so... 3+under root 5 = a/b
under root 5 = a/b-3
under root 5 = a-3b/b
so, a-3b/b is rational (because a and b are integer)
then, under root 5 is also rational
but we know that underroot 5 is irrational
so the assumption that we take is incorrect
therefore 3+under root 5 is irrational.
.....thank you
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