Question

prove root 2/3 is irrational

Answer 1

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If a natural number is not a perfect square then its square root is irrational.

This number √2/√3 is equivalent to √6/3. Since 6 is not a perfect square, √6 is irrational.

The quotient of an irrational number and a rational is irrational, if the quotient is anything but 0.

Thus, √2/√3 is irrational.

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Answer 2

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let , √2/√3 is an rational number

So,

√2 / √3 = A / B

√2 × √3 / 3 = A / B

√2 × √3 = 3A / B

integer = fraction

So , our assumptions is wrong √2/√3 Is an irrational number

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