1.

Prove that2- 3 root 5 is irrational

Answer»

Step-by-step explanation:

let 2-3root5=RATIONAL number=x

sq. both SIDES

(2-3root5)2=x2

2sq.+(3root5)2-2×2×3root5 = x2

4+45-12root5 = x2

49-12root5 =x2

root5 =x2-49/-12

as root5 is irrational

and x2-49/-12 is rational

therfore rational is not equal to irrational

so our SUPPOSITION is WRONG

Hence,2-3root5 is irrational

HOPE IT HELPS YOU...✨✨


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