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Question 236331: N is 80% of P
N to the root of 2 is what percent of P to the root of 2?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! n = 80% of p means that:
n = .8*p
take the square root of both sides of this equation and you get:
sqrt(n) = sqrt(.8*p) = sqrt(.8) * sqrt(p)
sqrt(.8) = .894427191 * 100% = 89.4427191%
your answer is:
sqrt(n) = 89.4427191% of sqrt(p)
to confirm, let n = 100
this makes p = 100/.8 = 125
equation of
n = .8*p becomes
100 = .8*125
take sqrt of both sides to get:
sqrt(100) = sqrt(.8*125) = sqrt(.8) * sqrt(125)
this becomes:
10 = .894427191 * 11.18033989
this becomes:
10 = 10
Answer is confirmed.
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