Compute the square of 12.8

162.54

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162.84

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163.54

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163.84

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Solution

The correct option is D
163.84

$(12.8)^{2}$ can be written as

$(13 - 0.2)^{2}$

$= (13)^{2} + (0.2)^{2} - 2 \times 13 \times 0.2 [(x - y)^{2} = x^{2} + y^{2} - 2 x y]$

$= 169 + 0.04 - 5.2$

$= 163.84$

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