Square Rooted varible by itself (/x)

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To isolate "d" in the equation involving square roots, the discussion clarifies that the correct interpretation of the square root symbol is crucial. The initial equation 1050 = 2700 / sqrt(d) can be rearranged to d = (1050^2) / (2700^2), resulting in d = 49/324. Additionally, for the equation 0.388 = /sqrt(d), squaring both sides yields d = 0.15054. The conversation emphasizes the importance of correctly interpreting the equations in the context of string vibrations at specified frequencies.
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Such a simple problem that I am stuck on...

1050=2700 /d
0.388=/d

how do i get "d" by itself? ( the "/" is square root not divide)
edit: is "D" diameter or distance... one is "d" and other is "D"
 
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#1)

1050=2700*/sqrt(d)
1050^2=2700^2*d
d=1050^2/2700^2 =49/324

#2)

.388=/sqrt(d)
.388^2=d
d = .15054
 
Square both sides
 
thanks guys, i was thinking that, but in the question it was dealing with string vibrations were 1050hz and 2700hz and 1mm..

original question:

(1050)(/sqrt 1)=(2700)(/sqrt D)

got to that last part and forgot what to do so i did it like this:

if 1mm equals 1050hz - then 1/1050 would equal how many mm's per hz
it was 0.000952mm/1hz

so then 0.000952mm/1hz * 2700hz would equal my answer of 2.57mm but i guess its not right...

thanks again
 
bushman91 said:
thanks guys, i was thinking that, but in the question it was dealing with string vibrations were 1050hz and 2700hz and 1mm..

original question:

(1050)(/sqrt 1)=(2700)(/sqrt D)
Are those slashes part of the root sign ? 1050\sqrt{1}= 2700\sqrt{D} ? If so, just divide both sides by 2700.
 
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