`(-2-sqrt(3))(-2+sqrt(3))`

(1+2sqrt(3))/(2-sqrt(3))

Simplifiy ((3)/(2 +sqrt(3))-(2)/(2-sqrt(3)))/(2-5sqrt(3)) .

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

The following are the steps involved in finding the value of a+b from (2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3) . Arrange them in sequential order. (A) (2^(2)+(sqrt(3))^(2) + 2xx2xxsqrt(3))/(2^(2)-(sqrt(3))^(2))=a+bsqrt(3) (B) a+b=7+4=11 (C) ((2+sqrt(3))(2+sqrt(3)))/((2-sqrt(3))(2+sqrt(3)))=a+bsqrt(3) (D) (7+4sqrt(3))/(4-3)=a+bsqrt(3) (E) a=7 and b=4

the points (2,2),(-2,-2) and (-2sqrt(3),2sqrt(3))

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

3(2 + sqrt3)(2 - sqrt3)

The value of 2(sqrt(2)+sqrt(6))/(3sqrt(2+sqrt(3)))+sqrt(2+sqrt(3))+sqrt(2-sqrt(3))