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State with reasons which of the following are rational numbers and which are irrantional numbers. (i) `sqrt(225)xxsqrt(4)`

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State with reasons which of the following are rational numbers and which are irrantional numbers. (ii) 6sqrt(50)+8sqrt(125)

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Give an example for each of the following: (i) The product of two ir...

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  2. Give an example for each of the following: (i) The product of two ir...

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  3. State with reasons which of the following are rational numbers and whi...

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  4. State with reasons which of the following are rational numbers and whi...

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  5. Expand log((1125)/(32)).

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  6. (i) Express the numbers 6825 and 3825 as a product of its prime factor...

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  7. Find the HCF and LCM of the following given pairs of numbers by prime ...

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  8. If x^2+y^2=7xy then show that 2log(x+y)=logx+logy+2log3.

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  9. Express 2016 and as product of prime factors.

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  10. Write any two digit numbers. Find their L.C.M. and G.C.D. by prime fac...

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  11. Prove that 2+sqrt3 is irrational.

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  12. Show that log""(162)/(343)+2log""(7)/(9)-log""(1)/(7)=log2

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  13. Lalitha says that HCF and LCM of the numbers 80 and 60 are 20 and 120 ...

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  14. If x^2 + y^2 = 10xy, prove that 2 log (x + y) = log x + log y + 2 log ...

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  15. Use Euclid's division lemma to show that the cube of any positive inte...

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  16. Prove that sqrt2-3sqrt5 is a irrational number.

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  17. Use Euclid's division lemma, to show that the cube of any positive int...

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  18. Prove that sqrt3-sqrt5 is an irrational number.

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  19. Use Euclid's division lemma to show that the square of any positive in...

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  20. Use Euclid's division lemma to show that the square of any positive in...

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