Question

$( \sqrt{5 + \sqrt{2)} } ( \sqrt{5 - \sqrt{2)} }$
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Answer 1

Step-by-step explanation:

$( \sqrt{5 + \sqrt{2} } )( \sqrt{5 - \sqrt{2} } ) \\ = \sqrt{(5 + \sqrt{2})(5 - \sqrt{2} )} \\ = \sqrt{ {5}^{2} - { (\sqrt{2}) }^{2} } \\ = \sqrt{25 - 2} \\ = \sqrt{23}$