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Polynomial Functions

The value of ...

Question

The value of $\sqrt{9998 \times 10002 + 4}$ is

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Solution

$\sqrt{9998 \times 10002 + 4}$
Let $x = 10000$
Then, $\sqrt{9998 \times 10002 + 4}$
$= \sqrt{(x - 2) (x + 2) + 4}$
$= \sqrt{x^{2} - 4 + 4}$
$= \sqrt{x^{2}}$
$= | x | = 10000$

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