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If a,b,c are positive unequal real numbe...

If a,b,c are positive unequal real numbers then prove that
`1/a+1/b+1/cge1/(sqrtbc)+1/(sqrtac)+1/(sqrtab)`.

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KALYANI PUBLICATION-INEQUALITIES AND INEQUATIONS-EXERCISE
  1. Find the least value of x in order that. 3x^3+7xge8x^2+2.

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  2. (b^3+c^3)/(b+c)+(c^3+a^3)/(c+a)+(a^3+b^3)/(a+b)gtab+bc+ca

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  3. If a,b,c are positive unequal real numbers then prove that 1/a+1/b+1...

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  4. If a,b,c are positive unequal real numbers then prove that (bc)/a+(c...

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  5. If a,b,c are positive unequal real numbers then prove that b^2c^2+c^...

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  6. If a,b,c are positive unequal real numbers then prove that (a+b+c)(1...

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  7. If a,b,c,e,f,g are positive unequal real numbers then prove that (a/...

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  8. If a,b,c are positive unequal real numbers then prove that a^2+b^2+c...

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  9. prove that sqrt7+sqrt12gtsqrt6+sqrt13.

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  10. If a,b,c are positive unequal real numbers then prove that sqrt14+sq...

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  11. Prove that in any triangle, the semi perimeter is greater than each of...

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  12. Prove that in any quadrilateral the sum of the diagonals is greater th...

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  13. If (a^2+b^2)(x^2+y^2)=(ax+by)^2 then prove that x/a=y/b.

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  14. If a,b,c are positive unequal real numbers then prove that a^2+b^2+c...

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  15. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

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  16. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

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  17. If x, y, z are all positive real numbers, then prove that, If x+y+z...

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  18. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

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  19. If x + y=5, then find the greatest value of 10xy.

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  20. If 2x+ 3y = 5, then find the greatest value of 8xy.

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