Find the values of $(4.9)^{2}$

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Solution

Value of ${(4.9)}^{2} .$
We can use ${(a + b)}^{2} = a^{2} + b^{2} + 2 a b$
or ${(a - b)}^{2} = a^{2} + b^{2} - 2 a b$
$\Rightarrow {(5 - 0.1)}^{2} = {(4.9)}^{2} = 5^{2} + {(0.1)}^{2} - 2 (5) (0.1)$
$= 25 + 0.01 - 1$
$= 24.01$
hence, the answer is $24.01.$

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