Question

Show that √2 + 3/√2 is an irrational number.

Answer 1

Step-by-step explanation:

these is a attachment to your question

first assume that the number is an rational number then,

write rational number definition

so, rational number=a/b and B is not equal to Zero

so by taking 3root2 on either side we get,

a/3 root 2b is an rational number but root2

is an irrational number

so,we can say these number is an rational number

these is your answer. it may help you

have a nice day

Answer 2

Step-by-step explanation:

let us assumed that root2 + 3/root2 is a rational no thus ,root 2 +3/root2=a/b. where b not equal to a and a and b are integers and next you have to take L.C.M of root 2 + 3/root2 and ans you get cross multiply the ans with a/b now you will get 5b/a= root 2 and here root 2 is irrational and 5b/a is rational and you known that rational and irrational not equal so it prove irrational no