Question

prove that 5-root 3 is irrational ​

Answer 1

Step-by-step explanation:

let 5-√3 be rational number

5-√3=p/q , where p and q are integers. and q is not equal to 0 hcf (p, q)= 1

-√3=p/q-5

-√3= p-5q/q

p-5q/q is rational number, whereas -√3 is irrational

rational is not equal to irrational

so there is a contradiction

our assumption is wrong

therefore , 5-√3 is irrational number