If \\sqrt{x}+ {1}/{\\sqrt{x}=2 \\sqrt{2}, then x^{2}+ {1}/{x^{2}} is equal to:

SSC CGL 12 Jun 2019 Shift 1 Paper

Question : 72 of 100

Marks: +1, -0

\√{x}+\ {1}/{\√{x}}=2 \√{2},

then

x^{2}+\ {1}/{x^{2}}

is equal to:

Solution:

\√{x}+\ {1}/{\√{x}}=2 \√{2}

x+\ {1}/{x}+2=8

x+\ {1}/{x}=6

x^{2}+\ {1}/{x^{2}}=34

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