Question

root 15+10root2+root15-10root2
$\sqrt{15 + 10 \sqrt{2 } } )( \sqrt{15 - 10 \sqrt{2} }$
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Answer 1

Answer:

$(\sqrt{15} + 10 \sqrt{2} )( \sqrt{15} - 10 \sqrt{2} )= ( - 185)$

Step-by-step explanation:

$(\sqrt{15} + 10 \sqrt{2} )( \sqrt{15} - 10 \sqrt{2} ) \\Using \: the \: identity :- (a + b)(a - b) = {a}^{2} - {b}^{2} \\ a = \sqrt{15} \: b = 10 \sqrt{2} \\ = { (\sqrt{15}) }^{2} - {(10 \sqrt{2} )}^{2} \\ = 15 - 200 \\ = ( - 185)$