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Prove that the following are irrational....

Prove that the following are irrational.
`1/sqrt2`

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Knowledge Check

  • Which one of the following are irrational numbers ? (i) sqrt(2+sqrt3) , (ii) sqrt(4+sqrt25) , (iii) root3(5+sqrt7) , (iv) sqrt(8-root3(8))

    A
    (ii),(iii), and (iv)
    B
    (i) , (ii) and (iv)
    C
    (i),(ii) and (iii)
    D
    (i),(iii) and (iv)

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    Examine, whether the following numbers are rational or irrational : (3+sqrt3)+(3-sqrt3)

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