TS ICET 23 May 2019 Shift 1 Paper

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Question : 81 of 200

Marks: +1, -0

x =

{2√2+√7}/{2√2-√7}

⇒ x -

1/x

=

$√{14}$
$2+√{14}$
$4√{14}$
$8√{14}$

Solution:

x=\;{2 √{2}+√{7}}/{2 √{2}-√{7}}

i.e.

, \;{√{8}+√{7}}/{√{8}-√{7}}

\;{1}/{x}=\;{√{8}-√{7}}/{√{8}+√{7}}

x-\;{1}/{x}=\;{(√{8}+√{7})^{2}-(√{8}-√{7})^{2}}/{(√{8}+√{7})(√{8}-√{7})}

=8√14

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