If `x = 0. bar 7 and y = 0. bar23` then rational number between `( x + y) and (x - y)` is

A rational number between x and y is................

For all rational numbers x and y, x - y = y - x.

If xsqrt(2) + ysqrt(3) = 0 where x and y are rational numbers, show that x = y = 0 .

Assertion : One of the rational number between (1)/(5) and (1)/(4) is (9)/(2) . Reason : If x and y are any two rational numbers such that x lt y , then (1)/(2)(x+y) is a rational number between x and y such that x lt (1)/(2) (x+y) lt y .

If x and y are two rational numbers such that y!=0 then the result of dividing xby is the rational lumber obtained on multiplying x by the reciprocal of y.

If A=({:(0,x),(y,0):}) " and " A^(3)+A=0 , then find the relation between x and y (x,y ne 0).

If x and y are rational numbers then show that the following are also rational numbers (i)x^(2)-y^(2)(ii)x-y(iii)(x)/(y),y!=0,(iv)x+y

The vectors bar X and bar Y satisfy the equations 2bar X =bar p,bar X+2bar Y =bar q where bar p=bar i+bar j and bar q=bar i-bar j. If theta is the angle between bar X and bar Y then

Find the rational number having 0.4bar23 as its expansion.