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Prove that sqrt5 is irrational....

Prove that `sqrt5` is irrational.

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R G PUBLICATION-MODEL PAPER 1-EXERCISE
  1. Prove that cosA/(1+sinA)+(1+sinA)/cosA=2secA.

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  2. If A,B,C are the interior angles of ABC, then prove that cos((A+B)/2)=...

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  3. Prove that sqrt5 is irrational.

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  4. If alpha and beta are the two zeroes of the quadratic polynomial x^2-3...

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  5. Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2.

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  6. Prove that in a right traiangle, the square of the hypotemuse is equal...

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  7. Show that any positive even integer is of the form 6q, 6q+2 ,6q+4.

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  8. In the figure ,DeltaABC is right angles at B, BC=7cm and AC-AB=1cm. Fi...

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  9. In figure D,E,F are midpoints of sides BC,CA,AB respectively of DeltaA...

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  10. Find the coordinates of a point A,where AB is the diameter of a circle...

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  11. 2 cubes each of volume 64cm^3 are joined end to end.Find the surface a...

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  12. Prove that parallelogram circumscribing a circle is a rhombus.

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  13. In what ratio does the x-axis divide the line segment joining the poin...

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  14. If all the sides of a parallelogram touch a circle, show that the para...

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  15. AB and CD are two parallel tangents to a circle with centre O. ST is a...

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  16. The angle of elevation of an aeroplane from a point A on the ground is...

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  17. A well of diameter 3 m is dug 14 m deep.They earth taken out of it has...

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  18. Without using trigonometric tables, evaIuate the following:sec37^@/(co...

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  19. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

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  20. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

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