Question

prove that 8-3✓5 is irrational?​

Answer 1

Step-by-step explanation:

8-3√5

8-3√5=a/b

8-a/b=3√5

(8b-a)/b=3√5

(8b-a)/3b=√5

√5 is in form of p/q

so,√5 is a rational number

but, according to the fact=√5 is a irrational number

Answer 2

assume 8-3√5 is rational

8-3√5=a/b

8=a/b+3√5

sobs

(8)2=a2/b2+(3√5)2

64=a2/b2+45

a2/b2=64-45

a2/b2=10

our assumption is wrong

8-3√5is irrational