This feature invites you to explore some of the more interesting properties of irrational numbers, and see how they crop up in algebra and geometry. Spend some time being irrational, and see what you discover!
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Irrational Constructions
Age
16 to 18
Challenge level
What questions does the spiral construction prompt you to ask?
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Staircase sequences
Age
16 to 18
Challenge level
Can you make sense of these unusual fraction sequences?
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Irrational Roots
Age
16 to 18
Challenge level
You're used to working with quadratics with integer roots, but what about when the roots are irrational?
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Nested surds
Age
16 to 18
Challenge level
Can you find values that make these surd statements true?
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Indices and Surds
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Sequences and Series
problem
Favourite
The Root of the Problem
Age
14 to 18
Challenge level
Find the sum of this series of surds.