Algebra: Value of Expressions with Roots
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Questions and Answers

What is the value of x?

  • $\frac{\sqrt{5}+2}{\sqrt{5}+\sqrt{2}}$
  • $\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-2}$
  • $\frac{\sqrt{5}-2}{\sqrt{5}+\sqrt{2}}$ (correct)
  • $\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+2}$
  • What is the value of x³ + xy + y²?

  • $10$ (correct)
  • $16$
  • $12$
  • $14$
  • What is the value of y?

  • $\frac{\sqrt{5}+2}{\sqrt{5}-\sqrt{2}}$
  • $\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}$ (correct)
  • $\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+2}$
  • $\frac{\sqrt{5}-2}{\sqrt{5}+\sqrt{2}}$
  • What is the value of x² - y²?

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