When you finish the calculation, you get approximately 2.82×10−82.82 \times 10^{-8}2.82×10−8 m. Since 2≈1.414\sqrt{2} \approx 1.4142≈1.414, then 222\sqrt{2}22 is indeed ≈2.828\approx 2.828≈2.828.
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