Question

if √5 is irrational
Prove that 2√5/3 is an irrational.
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Answer 1

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Answer 2

Answer:

yes 2√5/3 is irrational

Step-by-step explanation:

assume that 2√5/3 is rational

2√5/3 =p/q(where p and q are coprime number and q is not equal to 0)

2√5=p/q(3)

2√5=3p/q

√5=3p/2q

so √5 is equal to 3p/2q so it is rational but it is not possible because it is given that √5 is irrational

hence proved

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