Question

Show that
v2/3
is irrational.
​

Answer 1

Answer:

Proved!

Step-by-step explanation:

Let assume that  is rational

Therefore it can be expressed in the form of , where p and q are integers and q≠0

Therefore we can write =  

√3= 2 -  

is a rational number as p and q are integers. This contradicts the fact that √3 is irrational, so our assumption is incorrect. Therefore  is irrational.

We know that a rational no. into a irrational no. is irrational.

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