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Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt...

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))`

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

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  2. Rationalise the denominator and simplify: (i) (4sqrt(3)+5sqrt(2))/(sqr...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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