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Prove that 2 + sqrt3 is an irrational ...

Prove that ` 2 + sqrt3 ` is an irrational number.

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ICSE-CHAPTERWISE REVISION (STAGE 3) -COMPOUND INTEREST
  1. If x ^(2) = 11 + 2 sqrt(30 ) , find : x - (1)/(x)

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  2. Prove that 2 + sqrt3 is an irrational number.

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  3. If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5...

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  4. The interest charged on a certain sum is 720 for one year and 1.497.60...

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  5. The population of a town increases 10% every 3 years. If the present p...

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  6. The population of a town increases 10% every 3 years. If the present p...

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  7. The cost of a machine depreciated by rupes 4,752 during the second ye...

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  8. The cost of a machine depreciated by rupees 4,752 during the second y...

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  9. The cost of a machine depreciated by rupes 4,752 during the second ye...

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  10. Pramod borrowed 60,000 at 12% per annum compound interest. If he pays ...

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  11. Roshan invests 2,40,000 for 2 years at 10% per annum compounded anuall...

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  12. Amol bought a plot of land for 70,000 and a car for 32,000 on the same...

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  13. On what sum of money will the difference between the compound interest...

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  14. A certain sum of money is invested at a certain fixed rate compounded ...

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  15. rupees 12,000 is invested for 1 (1)/(2) years at C.I annually. If Rs...

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  16. If x- (1)/ (x ) = 4, find the value of : x+ (1)/(x)

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  17. If x- (1)/ (x ) = 4, find the value of : x^(2) + (1)/( x^(2))

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  18. If x- (1)/ (x ) = 4, find the value of : x ^(4) + ( 1 )/(x^(4))

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  19. If 3a + 4b =9 and ab= 2 find the value of : 27 a^(3) + 64 b ^(3)

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  20. If x - (1)/(x) = y , x ne 0 , find the value of (x- (1)/ (x) - 2y...

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