![\sqrt{ \frac{x}{y} } = 4 \: \frac{1}{x} + \frac{1}{y} = \frac{1}{xy} \sqrt{ \frac{x}{y} } = 4 \: \frac{1}{x} + \frac{1}{y} = \frac{1}{xy}](https://tex.z-dn.net/?f=+%5Csqrt%7B+%5Cfrac%7Bx%7D%7By%7D+%7D++%3D+4+++++%5C%3A++%5Cfrac%7B1%7D%7Bx%7D++%2B++%5Cfrac%7B1%7D%7By%7D++%3D++%5Cfrac%7B1%7D%7Bxy%7D+)
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Answer:
Step-by-step explanation:
√(x/y) =4 1/x +1/y =1/xy
√(x/y=1/xy
squaring x/y=1/x²y²
y/x=x²y²
y=x³y²
y=1/x³
√x/y=1/xy
x/y=1/x²y²
x=x²y
xy=1
x*1/x³=1
1/x²=1
x=1
y=x³=1³=1
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