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The quantity sqrt(45) + 2*sqrt(5) + sqrt(360)/sqrt(2) can be expressed as sqrtN, where N is an integer. Find N.

 Jan 24, 2021
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sqrt (45)  = 3sqrt (5)

sqrt  (360) / sqrt (2)  =  sqrt(360/2)  = sqrt (180) =  sqrt (36 * 5)  =  6sqrt (5)

 

Combining  all of these    =      3sqrt (5)  +2sqrt (5)   + 6sqrt (5)  =  11sqrt(5) =  sqrt ( 121 * 5)  =

sqrt (605) 

 

N  =  605

 

 

cool cool cool

 Jan 24, 2021

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