Stage: 5 Challenge Level: 
What is the value of the integers $a$ and $b$ where $$\sqrt{8 -
4\sqrt{3}} = \sqrt a - \sqrt b ?$$
Surds. Manipulating algebraic expressions/formulae. Creating expressions/formulae. Pythagoras' theorem. Long problems. Generalising. To be developed. Powers & roots. Quadratic equations. Mathematical reasoning & proof.
Published October 1999.
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