Question

Part B
Q15. Prove that 5 - 2V3 is an irrational number, given that V3 is an irrational number​

Answer 1

Answer:

Let 5-2_/3 be a rational number

Therefore

5-2_/3=p/q

-2_/3=(p-5q)/q

_/3=(p-5q)/-2q

since the left-hand side is an irrational number and the right hand side is a rational number

Therefore

our assumption is wrong

5-2_/3 is an irrational number

Hence proved

Hope it helps