if $\sqrt{a}-1 / \sqrt{a}=6$, find the value of $a^2+1 / a^2(a>1)$
1162
1442
1158
942
$a^{1 / 2}-1 / a^{1 / 2}=6$
Squaring both side
$a+1 / a=38$
$a^2+1 / a^2=1442$
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