Question

prove that root 3 + root 4 is irrational number ​

Answer 1

Here's your answer

.

.

.

let us assume that 3+√4 is a rational number

=3+√4=p/q(where p,q are integers,q is not equal to 0)

√4=3-p\q

√4=3q-p\q

Here 3q-p\q is integer so it is a rational number

but it contradicts that √4 is irrational

Hence,our assumption is wrong that 3+√4 is rational

therefore, 3+√4 is irrational number

.

.

.

Hope it helps you!!!