Question

if A is rational and √B is irrational then prove that ( A+√B) is irrational

Answer 1

ɧeՎ ԲՐɿeՌԺ


⊙ We know that if we add any rational number to irrational number then the result comes is irrational number.


So, the given number is irrational.


Eg :-
$1 + \sqrt{2}$


Is irrational.


Hope it helps you


$prabhudutt$

Answer 2

hiii meta



ur answer


...Let us assume to the contrary that x+√y is rational
So x+√y can be written in the form a/b,where a and b are co-primes and b not equal to 0
x+√y=a/b
√y=a/b-x
√y=a-bx/b