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Simplify: (i)(7+3\ sqrt(5))/(3+\ sqrt(5)...

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

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

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

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

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

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

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

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

((sqrt(5)-3))/((sqrt(5)-3))times((sqrt(5)-3))/((sqrt(5)+3))

Find sqrt(2+3sqrt(-5)) + sqrt(2-3sqrt(-5))

Simplify: (sqrt 3 - sqrt 5)(sqrt 5+ sqrt 3)

RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. Rationalise the denominator and simplify: (i) (4sqrt(3)+5sqrt(2))/(sqr...

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  2. Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sq...

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  3. Simplify: (i)(7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5))...

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

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  5. In each of the following determine rational number a\ a n d\ b : (i...

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  6. In each of the following determine rational number a\ a n d\ b : (i...

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  7. In each of the following determine rational number a\ a n d\ b : (i...

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

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

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  10. Find the value of 6/(sqrt(5)-\ sqrt(3)) , it being given that sqrt(3)=...

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  11. Find the values of each of the following correct to three places of ...

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  12. If x=sqrt(3) find the value of 2x^2-8x+7.

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  13. Write the value of (2+sqrt(3))(2-sqrt(3))

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  14. Write the reciprocal of 5+\ sqrt(2)

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  15. Write the rationalisation factor of 7-3sqrt(5)

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  16. If (sqrt(3)-1)/(sqrt(3)+1)=x+ysqrt(3) , find the value of x\ a n d\ y

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  17. If x=\ sqrt(2)-1 , then write the value of 1/x

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  18. Simplify : sqrt(3+2sqrt(2))

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  19. Simplify: sqrt(3-2sqrt(2))

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  20. If a=\ sqrt(2)+1 , then find the value of a-1/a

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