`(a+csqrt(b))(2+ysqrt(b))`

The sum of a appositive number and its reciprocal is thrice the difference of the number and its reciprocal.The number is sqrt(2) b.(1)/(sqrt(2)) c.sqrt(3)d.(1)/(sqrt(3))

The following are the steps involved in finding the value of x-y from (sqrt(8)-sqrt(5))/(sqrt(8)+sqrt(5))=x-ysqrt(40) . Arrange them in sequential order. (A) (13-2sqrt(40))/(8-5)=x-ysqrt(40) (B) ((sqrt(8))^(2)+(sqrt(5))^(2)-2(sqrt(8))(sqrt(5)))/((sqrt(8))^(2)-(sqrt(5))^(2))=x-ysqrt(40) (C) x-y=(11)/(3) (D) x=(13)/(3) and y=(2)/(3) (E) ((sqrt(8)-sqrt(5))(sqrt(8)-sqrt(5)))/((sqrt(8)+sqrt(5))(sqrt(8)-sqrt(5)))=x-ysqrt(40)

If (5-sqrt(3))/(2+sqrt(3))=x+ysqrt(3) , then (x,y) is

The mean proportional between (3+sqrt(2)) and (12-sqrt(32)) is sqrt(7)b.2sqrt(7)csqrt(6)d.(15-3sqrt(2))/(2)

Three numbers form an increasing G.P.If the middle number is doubled,then the new numbers are in A.P.The common ratio of the G.P.is 2-sqrt(3) b.2+sqrt(3) c.sqrt(3)-2 d.3+sqrt(2)

If x, y are rationals and xsqrt(2) - ysqrt(3) = 0 , show that x = y = 0

The length of the longer diagonal of the parallelogram constructed on 5vec a+2vec b and vec a-3vec b if it is given that |vec a|=2sqrt(2),|vec b|=3 and angle between vec a and vec b is pi/4 is 15 b.sqrt(113) c.sqrt(593) d.sqrt(369)

A value of b for which the equation x^(2)+bx-1=0,x^(2)+x+b=0 have one root in common is -sqrt(2) b.-i sqrt(3)c.sqrt(2)d .sqrt(3)

In the parabola y^(2)=4ax, the length o the chord pasing through the verte and inclined toi the axis at pi/4 is 4sqrt(2)a b.2sqrt(2)a c.sqrt(2)a d. none of these

If x=1+(1)/(3+(1)/(2+(1)/(2+(1)/(2oo))))a sqrt((5)/(2))b*sqrt((3)/(2))csqrt((7)/(3))d.sqrt((5)/(3))