Important sum of rational no

Find the number of rational terms and also find the sum of rational terms in (sqrt(2) + root(3)(3) + root(6)(5) )^(10)

Fill in the blanks : (i) Every real number is either . . . . . . . . . . . . . . . Number or . . . . . . . . . . . . . . . . number. (ii) The decimal representaion of rational number is either . . . . . . . . . . . . .or . . . . . . . . .. . . . . . (iii) The decimal representation of an irrational number is . . . . . . . . . . . . . . (iv) The sum of two rational numbers is always . . . . . . . . . . . . .

State whether the given statements are true or false : (i) The sum of two rationals is always rational. (ii) The sum of two irrationals is always irrational. (iii) The product of two rationals is always rational. (iv) The product of two irrationals is always irrational. (v) The sum of a rational and an irrational is always rational. (vi) The product of a rational and an irrational is always irrational.

Add, pair of rational numbers, given below, and show that their addition (sum) is also a rational number : (5)/(-26) "and" (8)/(39)

Add, the following pair of rational numbers, and show that their addition (sum) is also a rational number : -2 "and" (2)/(5)

Add, the following pair of rational numbers, and show that their addition (sum) is also a rational number : (6)/(11) "and" (-9)/(11)

Prove that statement by contradiction method. The sum of an irrational and a rational number is irrational.

Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

Add, each pair of rational numbers, given below, and show that their addition (sum) is also a rational number : (ii) (-8)/(13) "and" (-4)/(13)

Add, each pair of rational numbers, given below, and show that their addition (sum) is also a rational number : (i) (-5)/(8) "and" (3)/(8)