" (C) "(sqrt(3)+sqrt(7))^(2)

(4+sqrt(7)) expressed as a perfect square,is equal to (2+sqrt(7))^(2) b.((sqrt(7))/(2)+(1)/(2))^(2) c.(sqrt(3)+sqrt(4))^(2) d.{(1)/(2)backslash(sqrt(7)+1)^(2)}backslash

( sqrt3 + sqrt7)^2

(sqrt3 + sqrt7)^2

The abscissas of point P and Q on the curve y=e^(x)+e^(-x) such that tangents at P and Q make 60^(0) with the x -axis are.ln((sqrt(3)+sqrt(7))/(7)) and 1n((sqrt(3)+sqrt(5))/(2))1n((sqrt(3)+sqrt(7))/(2)) (c) 1n((sqrt(7)-sqrt(3))/(2))+-1n((sqrt(3)+sqrt(7))/(2))

The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tangents at Pa n dQ make 60^0 with the x-axis are. (a)1n((sqrt(3)+sqrt(7))/7)a n d1n((sqrt(3)+sqrt(5))/2) (b)1n((sqrt(3)+sqrt(7))/2) (c)1n((sqrt(7)-sqrt(3))/2) (d)+-1n((sqrt(3)+sqrt(7))/2)

The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tangents at Pa n dQ make 60^0 with the x-axis are. )a) 1n((sqrt(3)+sqrt(7))/7)a n d1n((sqrt(3)+sqrt(5))/2) (b) 1n((sqrt(3)+sqrt(7))/2) (c) 1n((sqrt(7)-sqrt(3))/2) (d) +-1n((sqrt(3)+sqrt(7))/2)

Simplify each of the following by rationalising the denominator: (7+3sqrt(5))/(7-3sqrt(5)) (ii) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tangents at Pa n dQ make 60^0 with the x-axis are. 1n((sqrt(3)+sqrt(7))/7)a n d1n((sqrt(3)+sqrt(5))/2) 1n((sqrt(3)+sqrt(7))/2) (c) 1n((sqrt(7)-sqrt(3))/2) +-1n((sqrt(3)+sqrt(7))/2)

The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tangents at Pa n dQ make 60^0 with the x-axis are. 1n((sqrt(3)+sqrt(7))/7)a n d1n((sqrt(3)+sqrt(5))/2) 1n((sqrt(3)+sqrt(7))/2) (c) 1n((sqrt(7)-sqrt(3))/2) +-1n((sqrt(3)+sqrt(7))/2)

Simplify each of the following by rationalising the denominator: (7+3sqrt(5))/(7-3sqrt(5)) (ii) (2\ sqrt(3)-\ sqrt(5))/(2sqrt(2)+\ 3sqrt(3))