To simplify the expression \( a^2 + 6.2^2 + 3.8^2 \), we need to calculate the values of \( 6.2^2 \) and \( 3.8^2 \).
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Calculate \( 6.2^2 \): \[ 6.2^2 = 6.2 \times 6.2 = 38.44 \]
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Calculate \( 3.8^2 \): \[ 3.8^2 = 3.8 \times 3.8 = 14.44 \]
Now, substitute these values back into the original expression: \[ a^2 + 6.2^2 + 3.8^2 = a^2 + 38.44 + 14.44 \]
Next, combine the constants: \[ 38.44 + 14.44 = 52.88 \]
So the expression simplifies to: \[ a^2 + 52.88 \]
Thus, the final result is: \[ a^2 + 52.88 \]