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[" ILLUSTRATIGN "7.37],[" If "(1)/(sqrt(...

[" ILLUSTRATIGN "7.37],[" If "(1)/(sqrt(2))

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If sqrt(7) = 2.646 then (1)/(sqrt(7)) =?

(1)/(sqrt(2)+sqrt(5)-sqrt(7))

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then

If sqrt7=2.646 then 1/sqrt7 =

Prove that (i) (1)/(3+sqrt(7)) + (1)/(sqrt(7)+sqrt(5))+(1)/(sqrt(5)+sqrt(3)) +(1)/(sqrt(3)+1)=1 (ii) (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+(1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6))+(1)/(sqrt(6)+sqrt(7)) +(1)/(sqrt(7)+sqrt(8))+(1)/(sqrt(8) + sqrt(9)) = 2

(sqrt(2)+7)/(sqrt(2)-1)+sqrt(8)

Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt(2)-sqrt(7)) + (1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5 .

The value of (1)/(2+sqrt(7))+(1)/(sqrt(7)+sqrt(10))+......+(1)/(sqrt(28)+sqrt(31))