`(91)^(2)+(41)^(2)-sqrt(?)=9858`

If P and Q are two points on the line joining A(-2,5),B(3,1) such that AP=PQ=QB then PB= sqrt(41) (2sqrt(41))/(3) (sqrt(41))/(3) (4sqrt(41))/(3)

Express each one of the following with rational denominator: (1)/(3+sqrt(2))( ii) (1)/(sqrt(6)-sqrt(5))( iii) (16)/(sqrt(41)-5)

If sqrt(2)=1.41 and sqrt(5)=2.24, find the value of (3)/(8sqrt(2)+5sqrt(5))+(2)/(8sqrt(2)-5sqrt(5))

2 3/5-:5/7=\ (a) (13)/7 (b) (13)/(25) (c) (91)/(25) (d) (25)/(91)

2 3/5-:5/7=\ (13)/7 (b) (13)/(25) (91)/(25) (d) (25)/(91)

Express each one of the following with rational denominator: (i) 1/(3+\ sqrt(2)) (ii) 1/(sqrt(6)-\ sqrt(5)) (iii) (16)/(sqrt(41)-\ 5)

The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3,\ 1,\ -2 b. 2,\ -4,\ 1 c. 3/(sqrt(14)),1/(sqrt(14)),(-2)/(sqrt(14)) d. 2/(sqrt(41)),(-4)/(sqrt(41)),1/(sqrt(41))

Length of the chord of contact of (2,5) with respect to y^(2)=8x is (3sqrt(41))/(2) (2sqrt(17))/(3) (7sqrt(3))/(5) (5sqrt(3))/(7)

(499.91)/(?)=sqrt(255.99)+sqrt(81.05)