Question

2+√6 is rational or irrational​

Answer 1

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Step-by-step explanation:

let us assume 2+root6 is a rational number

2+root6=a/b

root6=a/b-2

root6=a-2b/b

here a and b are integers

and a-2b/b is a RATIONAL NUMBER

But root6 is a irrational number

so our assumption that 2+root6 is a rational number is wrong

So therefore , 2+root6 is a IRRATIONAL NUMBER