Verify the associative property of intersection of sets for `A={-11,sqrt2,sqrt5,7},B={sqrt3,sqrt5,6,13}andC={sqrt2,sqrt3,sqrt5,9}`.

Subtract 5sqrt3+7sqrt5 from 3sqrt5-7sqrt3

The sum up to n terms of the series 1/(sqrt1+sqrt3)+1/(sqrt3+sqrt5)+1/(sqrt5+sqrt7)+... is

Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

The domain of f(x)=sin^(-1)[2x^2-3],w h e r e[dot] denotes the greatest integer function, is (a) (-sqrt(3/2),sqrt(3/2)) (b) (-sqrt(3/2),-1)uu(-sqrt(5/2),sqrt(5/2)) (c) (-sqrt(5/2),sqrt(5/2)) (d) (-sqrt(5/2),-1)uu(1,sqrt(5/2))

Simplify each of the following by rationalising the denominator: (3sqrt5-sqrt7)/(3sqrt3+sqrt2)

Simplify the following using addition and subtraction properties of surds : 5sqrt3+18sqrt3-2sqrt3

The sequence 1/sqrt3,1/(sqrt3+sqrt2),1/(sqrt3+2sqrt2),... form an

Rationalise the denominators of the following: (sqrt6)/(sqrt3-sqrt2)

Simplify each of the following by rationalising the denominator: (sqrt7-sqrt5)/(sqrt7+sqrt5)

Simplify the following using addition and subtraction properties of surds : 3sqrt75+5sqrt48-sqrt243