Question

Anyone give me answer with solution​

Answer 1

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Answer 2

Answer:

Suppose 3√6 is a rotational number,

Thus, by the property of rotational number,we can write,

3√6= p/q

Where p and q are distinct integers

q=0

3√6q = p

By squaring both sides

54q² = p² _ _ _ _(1)

p² is a multiple of 54

p is a multiple of 54,

Thus, we can write,

p=54a, where a is any number

From equation (1),

54q² = 2916a²

q²= 54a²

q² is a multiple of 54,

q is a multiple of 54,

Therefore, p and q are not distinct

Which is a contradiction,

3√6 is not a rotational number.

Hence proved .......

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