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Rationales the denominator and simplify:...

Rationales the denominator and simplify:
(i)`(sqrt(3)- sqrt(2))/(sqrt(3) + sqrt(2))` (ii) `(5+2 sqrt(3))/(7+4 sqrt(3))`

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`(i) ((sqrt3)-(sqrt2))/((sqrt3)+(sqrt2))`
`((sqrt3)-(sqrt2))/((sqrt3)+(sqrt2))xx(sqrt3-sqrt2)/(sqrt3-sqrt2)`
`((sqrt3-sqrt2)^2)/(3-2)`
`3+2-2sqrt6`
`5-2sqrt6`
`(ii) (5+2sqrt3)/(7+4sqrt3)`
`(5+2sqrt3)/(7+4sqrt3)xx(7-4sqrt3)/(7-4sqrt3)`
`(5xx7+5xx(-4sqrt3)+14sqrt3-8xx3)/(7^2-(4sqrt3)^2)`
`(35-20sqrt3+14sqrt3-24)/(49-48)`
`(11-6sqrt3)/1`
`11-6sqrt3`
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RD SHARMA-RATIONALISATION -All Questions
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  3. Rationales the denominator and simplify: (i)(sqrt(3)- sqrt(2))/(sqrt(...

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  4. Rationales the denominator and simplify: (i)(1+sqrt(2))/(3-2sqrt(2)) ...

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

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

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

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

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  10. In each of the following determine rational number a and b : (i) (...

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

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

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

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

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

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  16. If x=(sqrt(3)+1)/2, find the value of 4x^3+2x^2-8x+7.

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

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

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

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

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