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Surds Question: (2+squareroot(3))(1+squareroot(2))

 Jan 16, 2016
 #1
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You CAN just use the calculator to find the answer OR you can multiply it through to get:

2 + 2sqrt2 + sqrt3 + sqrt3sqrt2     I think the first option is the easiest to get: 9.00999 ~ ~ 9

 Jan 16, 2016
 #2
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I cannot use the calculator as it's a surds question

 Jan 16, 2016
 #3
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 Jan 16, 2016
edited by Guest  Jan 16, 2016
 #4
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Expand the following:
(2+sqrt(3)) (1+sqrt(2))

(2+sqrt(3)) (1+sqrt(2)) = (2) (1) + (2) (sqrt(2)) + (sqrt(3)) (1) + (sqrt(3)) (sqrt(2)):
2+2 sqrt(2)+sqrt(3)+sqrt(3) sqrt(2)

sqrt(3) sqrt(2) = sqrt(3×2):
2+2 sqrt(2)+sqrt(3)+sqrt(3×2)

3×2  =  6:
Answer: | 2+2sqrt(2)+sqrt(3)+ sqrt(6 )

 Jan 16, 2016

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