Question

15. If a = 3 -2√2, find the value of a^2-1/a^2.

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Answer 1

Answer:

$a = 3 - 2 \sqrt{2} \\ a {}^{2} = 9 - 4 \sqrt{2} + 8 \\ = 17 - 4 \sqrt{2} \\ a {}^{2} - \frac{1}{a {}^{2} } \\ = 17 - 4 \sqrt{2} - \frac{1}{17 - 4 \sqrt{2} }$

Answer 2

Answer:

=a^2-1/a^2

=a^1/a^2

=1/a

=1/3-2√2

Hope this helps you