Algebra and Applications Test 3

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Question : 12 of 25

Marks: +1, -0

The expression

(2+√2)+1/(2+√2)+1/{(2-√2)}

equals:

$4+√2$
$2√2$
$4-√2$
$2+√2$

Solution:

(2+√2)+1/(2+√2)+1/{(2-√2)}

=(2+√2)+ {2-√2+2+√2}/{(2+√2)(2-√2)}

=(2+√2)+ 4/2

=4+√2

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