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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)

best_answer

$a^{1 / 2}-1 / a^{1 / 2}=6$

Squaring both side

$a+1 / a=38$

Squaring both side

$a^2+1 / a^2=1442$

Posted by

Pankaj Sanodiya

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