The length of one side of a square can be determined by square rooting the area. Suppose the area of a square picture frame is represented by 2475v^15. Determine the exact length of one side of the picture frame.
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OpenStudy (anonymous):
take the square root of the area
OpenStudy (anonymous):
i m a bit confused by 'v' here
OpenStudy (anonymous):
maybe u shud leave the answer in square root...
mathslover (mathslover):
\[\large{\textbf{area of a square}=\textbf{side*side}}\]
OpenStudy (anonymous):
i know that kush but here v is confusing me
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OpenStudy (anonymous):
15v7 x sqrt of 11v
mathslover (mathslover):
so side = x v where x is the constant and v is the variable
given area = 2475 v^15
mathslover (mathslover):
i do think that the value of side is in v .. like 3v 4v etc.
OpenStudy (anonymous):
\[\sqrt{2475v^{15}}\]
mathslover (mathslover):
yes and that is equal to xv
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OpenStudy (anonymous):
kush?? the formula may work....
OpenStudy (anonymous):
Thank you @CJVelasco
I did it and got one of my answers!
mathslover (mathslover):
\[\sqrt{2475}=49.7=50(approx.)\]
\[\large{\sqrt{v^{15}}=v^7\sqrt{v}}\]
hence the side = \(\large{50v^7\sqrt{v}}\)
OpenStudy (anonymous):
exactly @mathslover but what if we break 2475 into part it'll become more easy