Math, asked by NI1E, 10 months ago

show that 3+√5 is irrational​

Answers

Answered by amansingh6052
1

Answer:

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

Answered by Anonymous
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