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Question

Is 2/root3 is rational or not.

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Solution

2 / root 3 = ( 2* root 3) / (root 3*root 3) , root 3*root 3 =3

= (2*root 3) / 3

= (2 / 3) * root 3 , 2/3 is a rational number ,root 3 is an irrational number

The product of a non-zero rational number and an irrational number is irrational.

2/root 3 is irrational

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