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Simplify : 3/(5-sqrt(3))+2/(5+\ sqrt(...

Simplify : `3/(5-sqrt(3))+2/(5+\ sqrt(3))`

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Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

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

Simplify : (i) (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))

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RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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  2. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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  3. Simplify : 3/(5-sqrt(3))+2/(5+\ sqrt(3))

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  4. Simplify: (4+\ sqrt(5))/(4-sqrt(5))+(4-\ sqrt(5))/(4+\ sqrt(5))

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  5. Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+\ 2)/(sqrt(5)-\ 2)

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  6. Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-...

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  7. Prove that: 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+\ sqrt(4))+1/...

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  8. If x=2+sqrt(3) , find the value of x^2+1/(x^2)

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  9. If x=3-2sqrt(2),find x^2+1/(x^2)

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

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  11. If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt...

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  12. If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^2-b...

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  13. If x=1/(2-sqrt(3)), find the value of x^3-2x^2-7x+5

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  14. Evaluate : (15)/(sqrt(10)+sqrt(20)+sqrt(40)-sqrt(5)-sqrt(80)), is bei...

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  15. Rationalise the denominator of each of the following (i)3/(sqrt(5))...

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  16. Rationalise the denominator of each of the following (i)1/(sqrt(12)...

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  17. Rationalise the denominator of each of the following (i)(sqrt(3)+\ ...

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  18. Find the value to three places of decimals of each of the following....

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  19. Find the value to three places of decimals of each of the following....

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  20. Find the value to three places of decimals of each of the following....

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