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sqrt(4x^2/3y

 

Step-By-Step explanation would be greatly appreciated. Please and thank you so much! 

 Nov 22, 2016
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sqrt(4x^2/3y

There is a bracket missing ...

 

\(\frac{\sqrt{4x^2}}{3y}\\ =\frac{\sqrt{2x*2x}}{3y}\\ =\frac{2x}{3y}\\ \)

 

OR

\(=\sqrt{\frac{2x*2x}{3y}}\\ =\frac{\sqrt{2x*2x}}{\sqrt{3y}}\\ =\frac{2x}{\sqrt{3y}}\\ \text{It is nice to rationalize the denominator }\\ =\frac{2x}{\sqrt{3y}}\times \frac{\sqrt{3y}}{\sqrt{3y}}\\ =\frac{2x*\sqrt{3y}}{\sqrt{3y}\sqrt{3y}}\\ =\frac{2x\sqrt{3y}}{3y}\\\)

 Nov 22, 2016

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