Question

Given that root 7 is irrational .Prove that 5-3 root 7 is irrational​

Answer 1

Step-by-step explanation:

let us suppose it is rational and equal to p/q

5-3√7=p/q

3√7=5-p/q

√7=5q-p/3q

right hand side 5q-p/3q is rational number

it implies √7 is rational number

but we know √7 irrational number

hence our supposition is wrong

5-3√7 is irrational number