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Rationalise the denominators of the foll...

Rationalise the denominators of the following:
`(1)/(sqrt7-sqrt6)`

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Examine, whether 30/(3sqrt5) is a rational or irrational number.

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  2. Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

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  3. Rationalise the denominators of the following: (1)/(sqrt7-sqrt6)

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  4. Find: 625^((1)/(4))

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  5. Find: 243^((2)/(5))

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  6. Find two rational numbers between 5 and 6 by mean method.

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  7. Express 1.bar46 in the p/q form whereqne0, p, q are integers.

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  8. Examine, whether the following statements are rational or irrational: ...

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  9. Examine, whether the following statements are rational or irrational: ...

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  10. Simplify: root(4) (256) -root(3) (125) +root(5) (32)

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  11. Simplify: (sqrt3-sqrt2) /(sqrt3+sqrt2)

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  12. Explain, how irrational nos. differ from rational nos.? Give four exam...

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  13. Rationalise the denominator of 5/(sqrt3+sqrt2)

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  14. (x^2-1)/(x+1)=4 ,then find the value of 'x'.

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  15. If x=2, y =1 is a solution of the equation 2x + by = 5 , find the valu...

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  16. Write the formulae of area and volume of different solid shapes. Find ...

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  17. What is the general form of the points which lie on X-axis ? Write any...

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  18. The opposite angles of a parallelogram are (3x-2)^(@) and (x+48)^(@). ...

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  19. Factorise 8x^3+y^3+z^3-6 xyz, using identity.

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  20. Locate sqrt(10) on the number line.

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