" 6.If "n" is a prime number,show that "sqrt(n)" is not a rational number."

If n is a natural number, then sqrt(n) is:

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.

Show that z = (-1 + sqrt(-3) / 2)^3 is a rational 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 .

If n^2+2n-8 is a prime number where n in n , then n is a. also a prime number b. relatively prime to 10 c. relatively prime to 6 d. a composite number

If 'P' is a prime number such that p ge 23 and n+ p! + 1 , then the number of primes in the list n+ 1, n+2 , ….. , n+p-1 is

Let P(n): n^(2)-n+41 is a prime number, then

If z=x+iy is a complex number with x,y in Q and |z|=1, then show that |z^(2n)-1| is a rational numberfor every n in N

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .