Simplifying Radicals with Imaginary Numbers - Taming a Dinosaur Matching Game

Niki Math
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This is fun matching game/activity on simplifying radicals with one and two variables and of negative numbers, thus resulting in an answer with imaginary number i. It contains 10 challenging problems.

Students simplify each of the given radical expressions. Their solutions are written on ten of 11 dinosaurs images. When students arrive at a correct answer, they “tame the dinosaur” having this answer written on it. It is said that only one dinosaur can not be tamed. Students have to find it out.

The activity can be used individually or in pairs.

Student recording sheet and answer keys are included.

Special thanks to this gifted artist hamhamart

Total Pages
8 pages
Answer Key
Teaching Duration
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to see state-specific standards (only available in the US).
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Use the structure of an expression to identify ways to rewrite it. For example, see 𝘹⁴ – 𝘺⁴ as (𝘹²)² – (𝘺²)², thus recognizing it as a difference of squares that can be factored as (𝘹² – 𝘺²)(𝘹² + 𝘺²).
Use the relation 𝘪² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Know there is a complex number 𝘪 such that 𝘪² = –1, and every complex number has the form 𝘢 + 𝘣𝘪 with 𝘢 and 𝘣 real.


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