SOF International Mathematics Olympiad (IMO)
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Set D
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2024
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Sample
Simplify: √(80) is equal to which surd form?
Explanation
Explanation
We look for the largest perfect square factor of 80. Since 80 = 4² × 5, we can pull 4² out of the square root as 4. That leaves √5 inside, so √80 = 4√5.
PRO TIP
Re-check your working by substituting the answer back into the original question.
If the sum of the roots of a quadratic equation is -1 and the product of the roots is -6, what is the equation (in the form x² - (sum)x + (product) = 0)?