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Find the values of a and b in each of th...

Find the values of a and b in each of the following
`(sqrt3+1)/(sqrt3-1)=a+bsqrt3`

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MODERN PUBLICATION-NUMBER SYSTEMS-EXERCISE
  1. Rationalise the denominator of each of the following (5+2sqrt3)/(7+4sq...

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  2. Rationalise the denominator of each of the following (2sqrt3-sqrt5)/(2...

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  3. Find the values of a and b in each of the following (sqrt3+1)/(sqrt3-1...

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  4. Find the value of a and b in each of the following : (3+sqrt2)/(3-sqrt...

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  5. Find the values of a and b in each of the following (4+3sqrt5)/(4-3sqr...

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  6. Find the values of a and b in each of the following (5+2sqrt3)/(7+4sqr...

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  7. Simplify the following (sqrt5-1)/(sqrt5+1)+sqrt5+1)/(sqrt5-1)

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  8. Simplify the following (7+3sqrt5)/(3+sqrt5)-(7-3sqrt5)/(3-sqrt5)

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  9. Simplify the following 1/(2+sqrt3)+2/(sqrt5-sqrt3)+1/(2-sqrt5)

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  10. If x=4-sqrt15 find the value of x+1/x

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  11. If x=3+sqrt8, find the value of x+1/x.

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  12. Find the value of 6/(sqrt5-sqrt3) is given that sqrt3=1.732 and sqrt5=...

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  13. If x=(sqrt3+1)/2 find the value of 4x^3+2x^2-8x+7

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  14. Prove that: 1/(3-sqrt8)-1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5...

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  15. Simplify the following (3^(1/2)xx3^(1/3))

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  16. Simplify the following (8^(1/2))/(8^(2/3))

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  17. Simplify the following 6^(1//2)xx7^(1//2)

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  18. Simplify the following (49)^(1/2)

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  19. Simplify the following 32^(2//5)

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  20. Simplify the following 81^(-1//4)

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