Powers and roots

  • Ab Surd Ity
    problem

    Ab surd ity

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Find the value of sqrt(2+sqrt3)-sqrt(2-sqrt3)and then of cuberoot(2+sqrt5)+cuberoot(2-sqrt5).
  • Pocket money
    problem

    Pocket money

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Which of these pocket money systems would you rather have?