Question

√2+8 rational or irrational?

Answer 1

heya

here is ur answer

➡√2+8 is IRRATIONAL

➡ because √2 is IRRATIONAL and 8 is rational

➡ irrational number + rational number = IRRATIONAL number

Answer 2

Hey there !!
___________________________________

√2 + 8 is an irrational number.

EXPLANATION :-

Let √2 + 8 be a rational number.

√2 + 8 = a / b where a and b co-prime and (b≠0)

√2 = ( a / b ) – 8

√2 = ( a – 8b ) / b

Since a and b are integers, so ( a – 8b ) / b is rational no.

But this contradicts the fact that √2 is an irrational number.
Our incorrect consumption is false.

So, we conclude that √2 + 8 is an irrational number.
___________________________________

Hope my ans.'s satisfactory. (^-^)