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Coincidental decimal representation?

Algebra Level 3

As shown by the calculators, the first 3 decimal places of \( \sqrt{ 79 } - 8 \) and \( \sqrt{320} - 17 \) are both 0.888.

Which is larger?

\[ \sqrt{79} - 8 \] \[\sqrt{320} - 17 \]

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by Pi Han Goh

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