Evaluate the following by using the identity $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ :
${2.8}^{2}$

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Solution

$(a - b)^{2} = a^{2} + b^{2} - 2 a b$
${2.8}^{2} = (3 - .02)^{2} = 3^{2} + {0.2}^{-} 2 \times 0.2 \times 3 = 7.84$

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