Math, asked by DRAGONITR, 1 year ago

please tell very important tomorrow is my exam

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Answered by allysia
2
x = 3 + 2√2


1 / x = 1 / (3+2√2)
by rationalizing it

= 1 / (3+2√2) × { (3-2√2)/ (3-2√2) }
= (3-2√2) / 9 - 8
= (3-2√2)

so,
1/x = (3-2√2)


the question is
{x -(1/x)}^2
{3 + 2√2 - ( 3 - 2 √2)}^2
( 3 -3 + 2√ 2 + 2√2)^2
( 4√2)^2
16 × 2
= 32.
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