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Help with math plssssss!

Help with math plssssss!-example-1

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(x\sqrt3)/(√(4x))=(x\sqrt3)/(\sqrt4\cdot√(x))=(x\sqrt3)/(2√(x))=(x\sqrt3\cdot√(x))/(2√(x)\cdot√(x))=(x√(3x))/(2x)=(√(3x))/(2)\to\boxed{4.}\\\\Used:\\\\√(ab)=√(a)\cdot√(b)\\\\√(a)\cdot√(a)=a

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