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Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt...

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` .

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Evaluate : (1)/(3-sqrt(8)) -(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2).

Let T = (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7)) +(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)+2) then-

Show that: 1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5))+1/(sqrt(5)-2)=5

Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-1/(sqrt(6)-\ sqrt(5))+1/(sqrt(5)-2)=5

Prove that : (1)/(sqrt(2)+1)+ (1)/(sqrt(3)+sqrt(2))+ (1)/(2+sqrt(3))=1

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

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

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

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

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

ICSE-RATIONAL AND IRRATIONAL NUMBERS -EXERCISE 1 (C)
  1. Find the values of a and b in each of the (5+3sqrt(2))/(5-3sqrt(2)...

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  2. Simplify : (22)/(2sqrt(3)+1)+(17)/(2sqrt(3)-1)

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  3. Simplify : (sqrt(2))/(sqrt(6)-sqrt(2))- (sqrt(3))/(sqrt(6)+sqrt(2))

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  4. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  5. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  6. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  7. If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find :...

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  8. If m = (1)/(3-2sqrt(2)) and n = (1)/(3+2sqrt(2)) find : (i) m^(2) (...

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  9. If x=2sqrt(3)+2sqrt(2) find : (1)/(x)

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  10. If x=2sqrt(3)+2sqrt(2) find : x+(1)/(x)

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  11. If x=2sqrt(3)+2sqrt(2) find : (x+(1)/(x))^(2)

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  12. If x =1-sqrt(2) find the value of (x-(1)/(x))^(3)

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  13. If x = 5-2sqrt(6) find : x^(2)+ (1)/(x^(2))

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  14. Show that : (1)/(3-2sqrt(2))- (1)/(2sqrt(2)-sqrt(7)) + (1)/(sqrt(7)-sq...

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  15. Rationalize the denominator of : (1)/(sqrt(3)-sqrt(2)+1)

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  16. If sqrt(2)= 1.4 and sqrt(3) = 1.7 find the value of each of the corre...

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  17. If sqrt(2)= 1.4 and sqrt(3) = 1.7 find the value of each of the corre...

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  18. If sqrt(2)= 1.4 and sqrt(3) = 1.7 find the value of each of the corre...

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  19. Evalutate : (4-sqrt(5))/(4+sqrt(5))+ (4+sqrt(5))/(4-sqrt(5))

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  20. If (2+sqrt(5))/(2-sqrt(5)) =x and (2-sqrt(5))/(2+sqrt(5)) =y , find th...

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