Math, asked by mdsufyaan, 1 month ago

Prove that the given numbers are irrational 13 + root 2​

Answers

Answered by somanshijain90
1

Step-by-step explanation:

let us assume 13+√2 is rational

we can find Co prime of a and b such that

13+√2 =a/b

therefore, 13-a/b=√2

we get √2 = 13- a/b = 13b - a /b

we get 13 - a/b as rational, so √2 is rational

but thus contradicts the fact √2 is irrational

our assumption is wrong

13+√2 is irrational

Answered by Student149
1

Answer:

As long as irrational terms are included in the equation, the equation will all be irrational.

Hope this helped!

Have a good day.

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