# Sixteens!

Number Theory Level 2

How many times $${ 16 }^{ 2 }$$ should appear under the square root sign for the following equation to be true:

$\sqrt { { 16 }^{ 2 }+{ 16 }^{ 2 }+{ 16 }^{ 2 }+...+{ 16 }^{ 2 }+{ 16 }^{ 2 }+{ 16 }^{ 2 } }={16}^{16}$?

Try this one

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