Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.1 Junior Find the answer

Calculate the value of $\sqrt{\frac{\sqrt{81} + \sqrt{81}}{2}}$ .

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Calculating, $\sqrt{\frac{\sqrt{81} + \sqrt{81}}{2}} = \sqrt{\frac{9 + 9}{2}} = \sqrt{9} = 3$ .

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