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surds problem

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Post  Admin Mon Feb 21, 2011 7:33 pm


surds problem Surds_11

Given the area of the rectangle is 6 cm^2 find the exact value of L in its simplest form.

Enjoy

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Post  Thimodya/Waspinator Wed Feb 23, 2011 6:08 am

is it L= 4.87
because the square root of 2 is 1.41
1.41 times 3 is 4.23 - 3 is 1.23
6 divided by 1.23 is 4.88
i know it barely has anythin yo do with surds but i got confused and decided to do it the non-surds way........... Sad
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Post  Jihye Choi Sat Feb 26, 2011 10:53 am

I think it's 2√2 +2 (cm)

because 6cm² = (3√2 -3) × L

so L = 6 ÷ (3√2 -3)

6 /(3√2 -3) = 6(3√2 +3) /(3√2 -3)(3√2 +3)

= (18√2 +18) /18 -9 = (18√2 +18) /9 = 2√2 +2

∴ L = 2√2 +2 (cm)

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Post  fergus Sun Feb 27, 2011 7:02 am

I cant do this by using surds o.O
So i think timmy is right
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