Question 86 (xiii)

Using suitable identities, evaluate the following:

$(9.9)^{2}$

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Solution

We have,
$(9.9)^{2} = (10 - 0.1)^{2} = 10^{2} + (0.1)^{2} - 2 \times 10 \times 0.1 = 100 + 0.01 - 2 = 98.01$
[using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]

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