Question

prove that 7-2 root3 is an irrational number

Answer 1

Answer:

let 7-2√3 is rational number.

Step-by-step explanation:

7-2√3=p/q (q not= to 0) p and q are co-prime number

7-2√3=p/q

7-p/q=2√3

7q-p/q=2√3

√3=7q-p/2q...........eq.1

In R.H.S of eq.1

p;7;q;2

all are rational number

so;R.H.S is a rational number

L.H.S should also be rational number

7-2√3 is a irrational number