[STEP][剑桥数学入学考试][04-S1-Q1][Surds and polynomials][P1] STEP

casperyc的马甲 5月前 386

  • Express $\left(3+2\sqrt{5} \right)^3$ in the form $a+b\sqrt{5}$ where $a$ and $b$ are integers.
  • Find the positive integers $c$ and $d$ such that $\sqrt[3]{99-70\sqrt{2} } = c - d\sqrt{2} $.
  • Find the two real solutions of $x^6 - 198 x^3 + 1 = 0 $.
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