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CEMC Fermat

Algebra Difficulty 2.1 Junior Find the answer

Calculate the value of 81+812\sqrt{\frac{\sqrt{81} + \sqrt{81}}{2}}.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Calculating, 81+812=9+92=9=3\sqrt{\frac{\sqrt{81} + \sqrt{81}}{2}} = \sqrt{\frac{9 + 9}{2}} = \sqrt{9} = 3.

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