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[" 7.Prove that "(1)/(2+sqrt(3))+(2)/(sq...

[" 7.Prove that "(1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))=0],[" 8.If "x=5-2sqrt(6)" then find the value of "x^(2)+(1)/(x^(2))],[" 9.Simplify: "3sqrt(45)-sqrt(125)+sqrt(200)-sqrt(50)],[" 10.Find the values of "a" and "b" if "(7+3sqrt(5))/(3+sqrt(5))-(7-3sqrt(5))/(3-sqrt(5))=a+sqrt(5)b],[" 11.If "x=(2+sqrt(5))^(1/2)+(2-sqrt(5))^(1/2)" and "y=(2+sqrt(5))^(1/2)-(2-sqrt(5))^(2)]

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(1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))=0

(1)/(sqrt(3)+sqrt(2))-(2)/(sqrt(5)-sqrt(3))-(3)/(sqrt(2)-sqrt(5))

(1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=

1/(sqrt(3)+sqrt(2))-2/(sqrt(5)-sqrt(3))-3/(sqrt(2)-sqrt(5))

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

Simplify: (7+3sqrt(5))/(3+sqrt(5))-(7-3sqrt(5))/(3-sqrt(5)) (ii) (1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))

(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

1/(sqrt(2)+sqrt(3)+sqrt(5))+1/(sqrt(2)+sqrt(3)-sqrt(5))

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)), then the value of x^(2)+(1)/(x^(2))

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))