Question

Given that root 5 is irrational show that 2 / 3 - 4 root 5 is irrational

Answer 1

Step-by-step explanation:

Let 2/3-4√5= r

-4√5=r-2/3

√5=r-2/3*-1/4

r is an rational number

r-2/3 is an rational number

r-2/3*-1/4 is an rational number

but √5 is an irrational number

therefore 2/3-4√5 is an irrational number .