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

Simplify:
(i)`(3sqrt(2)-2sqrt(3))/(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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Let's solve the given problems step by step. ### Part (i) **Given Expression:** \[ \frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}} \] ...
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RD SHARMA-RATIONALISATION -All Questions
  1. Rationales the denominator and simplify: (i)(1+sqrt(2))/(3-2sqrt(2)) ...

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

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

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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)+ sqrt(...

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  6. In each of the following determine rational number a and b : (sqrt(...

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  7. In each of the following determine rational number a and 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)+1)/2, find the value of 4x^3+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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