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, 2016 Difficulty 1.3 Junior Find the answer Canada
If 25 − n = 3 \sqrt{25-\sqrt{n}}=3 25 − n = 3 n n n
Pick one
A 4 4 4 B 16 16 16 C 64 64 64 D 484 484 484 E 256 256 256
Solution Since 25 − n = 3 \sqrt{25-\sqrt{n}}=3 25 − n = 3 25 − n = 9 25-\sqrt{n} = 9 25 − n = 9
Thus, n = 16 \sqrt{n} = 16 n = 16 n = 16 2 = 256 n = 16^2 = 256 n = 1 6 2 = 256
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