Using identities, evaluate ${5.2}^{2}$ .

26.04

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2704

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27.04

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2604

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Solution

The correct option is C $27.04$
Given, $(5.2)^{2}$

We know, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ .

Then,
$(5.2)^{2}$
$= (5 + 0.2)^{2}$
$= 5^{2} + (0.2)^{2} + 2 (5) (0.2)$
$= 25 + 0.04 + 2 (1)$
$= 25 + 0.04 + 2$
$= 27.04$ .

Therefore, option $C$ is correct.

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