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square root + square root}^2 a. 1 b. 9- (4 square root 5) c.

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Manager
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square root + square root}^2 a. 1 b. 9- (4 square root 5) c. [#permalink] New post 20 Apr 2006, 15:52
{square root[9 + (square root 80)] + square root[9 - (square root 80)]}^2

a. 1

b. 9- (4 square root 5)

c. 18 - (4 square root 5)

d. 18

e. 20



(I hope the equation is clear. 9+ square root 80 is inside a square root. 9 - square root 80 is inside a square root.)
Senior Manager
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Re: Square Root [#permalink] New post 20 Apr 2006, 15:59
jlui4477 wrote:
{square root[9 + (square root 80)] + square root[9 - (square root 80)]}^2

a. 1

b. 9- (4 square root 5)

c. 18 - (4 square root 5)

d. 18

e. 20



(I hope the equation is clear. 9+ square root 80 is inside a square root. 9 - square root 80 is inside a square root.)



The eqn becomes
9 + sqrt(80) + 9 - sqrt (80) + 2 sqrt(9 + sqrt(80)) * sqrt(9 + sqrt(80))
= 18 + 2 sqrt(81 - sqrt(80)^2)
= 18 + 2 sqrt (1) = 20
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Re: Square Root [#permalink] New post 20 Apr 2006, 19:17
jlui4477 wrote:
{square root[9 + (square root 80)] + square root[9 - (square root 80)]}^2

a. 1
b. 9- (4 square root 5)
c. 18 - (4 square root 5)
d. 18
e. 20
(I hope the equation is clear. 9+ square root 80 is inside a square root. 9 - square root 80 is inside a square root.)


agree with E.

adminstrator(s) or moderatators,

is not it possible to make available special characters such as sqrt, infinite, superscript, subscript or any other characters as required on this window? this is because it has been really confusing and time consuming to figure out the peoblems and their solutions....

hope you take my suggestions positively..

prof..
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 [#permalink] New post 20 Apr 2006, 20:06
I'm not following. :x What is your first step?


The eqn becomes
9 + sqrt(80) + 9 - sqrt (80) + 2 sqrt(9 + sqrt(80)) * sqrt(9 + sqrt(80))
= 18 + 2 sqrt(81 - sqrt(80)^2)
= 18 + 2 sqrt (1) = 20
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 [#permalink] New post 20 Apr 2006, 20:31
jlui4477 wrote:
I'm not following. :x What is your first step?


The eqn becomes
9 + sqrt(80) + 9 - sqrt (80) + 2 sqrt(9 + sqrt(80)) * sqrt(9 + sqrt(80))
= 18 + 2 sqrt(81 - sqrt(80)^2)
= 18 + 2 sqrt (1) = 20

I guess he used square of the sum formula
(a+b)^2=a^2+2ab+b^2
Hope this helps
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  [#permalink] 20 Apr 2006, 20:31
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square root + square root}^2 a. 1 b. 9- (4 square root 5) c.

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