Show that `sqrt(2),sqrt(3),sqrt(5)` cannot be the terms of an A.P.

Show that 3sqrt2 is irrational.

Show that 3-sqrt2 is irrational.

Find the term in (3sqrt(((a)/(b))) + 3(sqrt((b)/ sqrt(a)))^(21) which has the same power of a and b.

Prove that (sqrt5)/(3sqrt3) is irrational.

Show that the following sets of points are the vertices of an equilateral triangle :- (0,0), (5, 5sqrt3) and (-5,5sqrt3) .

Show that cot (142\ 1/2) ^@ = sqrt(2) + sqrt(3) - 2 - sqrt(6)

The value of (2+sqrt(3))(2-sqrt(3)) is:

Simplify: (sqrt5+sqrt2)(sqrt2-sqrt3)

Prove that sqrt5-sqrt3 is a irrational number.