Question

Show that 3+v7
is an irrational number, given that 7 is irrational.
OR​

Answer 1

Answer:

Step-by-step explanation:

let us assume that 3+root 7 is rational that means 3+root7 will be in the form a/b where a and b are integers and q is not equal to zero.

therefore,3+root7=a/b

root7=a/b-3

root7=a-3b/b

as root 7 is in the form of a/b so we can say that it is a rational number

but it contradicts the fact that root 7 is irrational therefore 3+root 7