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