Time to Be Irrational!

Time to be irrational!

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!

Irrational Constructions 

Age 16 to 18
Challenge Level
What questions does the spiral construction prompt you to ask?

Staircase Sequences 

Age 16 to 18
Challenge Level
Can you make sense of these unusual fraction sequences?

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?

Nested Surds 

Age 16 to 18
Challenge Level
Can you find values that make these surd statements true?

Related

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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