" (a) "(2+sqrt(3))^(7)+(2-sqrt(3))^(7)

Prove that (2 +sqrt(3))^(7) +(2-sqrt(3))^(7)=10084 Hence show that 10083 lt ( 2+sqrt(3))^(7) lt 10084 .

Evalute: (2+sqrt(3))^(7)+(2-sqrt(3))^(7)

Evaluate the following: (2+sqrt(3))^(7)+(2-sqrt(3))^(7)

Evaluate the following: (2+sqrt(3))^7+(2-sqrt(3))^7

(2sqrt(7))/(sqrt(5)-sqrt(3))

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)) (ii) (sqrt(5))/(2sqrt(3)) (iii) (1)/(2+ sqrt(3)) (1)/(sqrt(3)) (v) (1)/((5+3sqrt(2)) (vi) (1)/(sqrt(7) - sqrt(6)) (vi) (1)/(sqrt(7) - sqrt(6)) (viii) (1+ sqrt(2))/(2-sqrt(2)) (ix) (3-2sqrt(2))/(3+2sqrt(2))

Evaluate (2+sqrt3)^7+(2-sqrt3)^7

Rationalise the denominator in each of the following: (2)/(sqrt(7)) (ii) (2)/(3sqrt(3)) (iii) (2sqrt(7))/(sqrt(11))

Rationalise the denominator in each of the following: (i) 2/(sqrt(7)) (ii) 2/(3sqrt(3)) (iii) (2sqrt(7))/(sqrt(11))

A line passes through point P(4,5) and makes 30^@ with X-axis. Then the coordinates of the point which is at distance of 4 unit on either side of P is : a. (4-2sqrt(3),7) , (4+2sqrt(3),7) b. (4+2sqrt(3),7) , (4-2sqrt(3),7) c. (4+2sqrt(3),7) , (4-2sqrt(3),3) d. (4-2sqrt(3),7) , (4-2sqrt(3),7)