Simplify :

$(\sqrt{1} 1 - \sqrt{7}) (\sqrt{1} 1 + \sqrt{7})$

\sqrt{(} 4)

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2

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3.141

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1.414

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Solution

The correct options are
A $\sqrt{(} 4)$

B $2$
$\Rightarrow (\sqrt{1} 1 - \sqrt{7}) (\sqrt{1} 1 + \sqrt{7})$

Using the identity
$a^{2} - b^{2} = (a - b) (a + b)$

$= \sqrt{(} (\sqrt{1} 1)^{2} - (\sqrt{7})^{2}) = \sqrt{(} 11 - 7) = \sqrt{(} 4) = 2$

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