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- if $\sqrt{a}-1 / \sqrt{a}=6$, find the value of $a^2+1 / a^2(a>1)$Option: 1 1162Option: 2 <
if $\sqrt{a}-1 / \sqrt{a}=6$, find the value of $a^2+1 / a^2(a>1)$
Option: 1
1162
Option: 2
1442
Option: 3
1158
Option: 4
942
Answers (1)
$a^{1 / 2}-1 / a^{1 / 2}=6$
Squaring both side
$a+1 / a=38$
Squaring both side
$a^2+1 / a^2=1442$
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