Question

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

Answer 1

Step-by-step explanation:

hope this will help you

Answer 2

Step-by-step explanation:

$\sf{let\:find\: \frac{1}{a} = \frac{1}{3 - 2 \sqrt{2} } \:do\:rationalisation \:multiply\:3 + 2\sqrt{2} }\\\sf{on\:numerator\:and\:denominator}\\\sf{you\:get\: \frac{1}{a} = 3 + 2 \sqrt{2} }$

$\sf{we\:know\:that\:a^2 - b^2 = (a + b)(a - b)}$

$\sf{then\:a^2 - \frac{1}{a^2} = (a + \frac{1}{a})(a - \frac{1}{a} ) }$

$\sf{(3 + 2 \sqrt{2} + 3 - 2 \sqrt{2})(3 - 2 \sqrt{2} - (3 + 2 \sqrt{2} ) }$

$6(-4 \sqrt{2} ) =- 24 \sqrt{2}$