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If , 18*sqrt(8) - 8 * sqrt(18) = sqrt(n), what is n?

 Jun 14, 2021
edited by Guest  Jun 14, 2021
 #1
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Some one please help!

 Jun 14, 2021
 #2
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18sqrt 8   -  8sqrt 18   =  sqrt n

 

sqrt (8)  = 2sqrt 2          and    sqrt  (18)  =  3sqrt (2)

 

So

 

18 * 2 sqrt 2    -  8 * 3 sqrt 2    =  sqrt (n)

 

36 sqrt 2    -  24 sqrt 2  =   sqrt (n)

 

12  sqrt (2)  = sqrt (n)

 

sqrt ( 2 * 12^2)  = sqrt (n)

 

sqrt  ( 288)  = sqrt (n)

 

n  = 288

 

 

cool cool cool

 Jun 14, 2021
 #3
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THANK YOU SO MUCH!

Guest Jun 14, 2021

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