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Radicals: Simplify ( 1 / 3-√8 ) ²
iil-london
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Simplify:

( 1 / 3-√8 ) ²

A) 9+√8
B) 9+2√8
C) 9+6√8
D) 17+2√8
E) 17+6√8

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Sudhan
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(1/3-sq(8)^2

1/9+8-2*3*sq(8) using (a-b)^2 formula= a^2+b^2-2*a*b

1/17-6sq(8)

Multiply num & denom by 17+6 sq(8)

17 +6 sq(8)/ (17-6sq(8)) (17+6sq(8))

17+6 sq(8)/(17)^2 - (6sq(8))^2

17+6 sq(8)/ 289- 36*8

17+6 sq(8)/ 289-288

17+6 sq(8)

Hence E

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Ron Purewal
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Joined: 08 Oct 2007
Posts: 1477

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please post the source for this question. thank you.
Radicals: Simplify ( 1 / 3-√8 ) ²
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