If `a+sqrtb=c+sqrtd` where a and c are rational numbers `sqrtb and sqrtd` are irrational numbers then prove that `a=c and b=d.`

If sqrt(ab) be an irrational number then sqrta+sqrtb is also irrational number.True or False

If alpha and beta are equal rational numbers, roots of ax^(2)+bx+c=0 (where a,b,c be rational numbers ) then Delta=

3. 27 is (a) an integer (b) a rational number (c) a natural number (d) an irrational number

3.27is (a) an integer (b) a rational number (c) a natural number (d) an irrational number

(log)_4 18 is a rational number (b) an irrational number (c)a prime number (d) none of these

(a) (i) By taking any two irrational numbers, prove that their sum is a rational number. (ii) By taking any two irrational numbers, prove that their difference is a rational number. (b) Insert in between 1/7 and 2/7 (i) a rational number : (ii) an irrational number.

if (log)_a x=b for permissible values of a and x then identify the statements which can be correct. (a) If a and b are two irrational numbers then x can be rational (b) if a is rational and b is irrational, then x can be rational (c) if a is irrational and b is rational, then x can be rational (d) If a and b are two rational numbers then x can be rational .

if (log)_a x=b for permissible values of a and x then identify the statements which can be correct. (a) If a and b are two irrational numbers then x can be rational (b) if a is rational and b is irrational, then x can be rational (c) if a is irrational and b is rational, then x can be rational (d) If a and b are two rational numbers then x can be rational .

Let x be an irrational number.If a,b,c and d are rational numbers such that (ax+b)/(cx+d) is a rational number,which of the following must be true?

(log)_4 18 is (a) a rational number (b) an irrational number (c) a prime number (d) none of these