Prove that `sqrt(n)` is not a rational number, if `n` is not a perfect square.

Prove that sqrt(2) is not a rational number.

Prove that sqrt(2) is not a rational number.

Prove that sqrt2 is not a rational number.

If tanalpha=sqrt(a) , where a is a rational number whch is not a perfect square, then which of the following is a rational number?

If tanalpha=sqrt(a) , where a is a rational number whch is not a perfect square, then which of the following is a rational number?

What is sqrt(n) if n is not a perfect square number?

State whether the following statements are true or false . Justify your answers . (i) Every irrational number is a real number . (ii) Every rational number is a real number . (iii) Every real number need not be a rational number (iv) sqrt(n) is not irrational if n is a perfect square .

Prove that there is no rational number whose square is 6.

If a is a rational number,then prove that a^(n) will be a rational number,where n is a natural number greater than 1.