The answer is yes. Perhaps the question needs to be reworded.
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The square root of 8x can be simplified as √8x = √(4*2x) = 2√2x. This is because we can break down 8 into 4 and 2, and since the square root of 4 is 2, we can pull it out of the square root. Therefore, the simplified form of the square root of 8x is 2√2x.
Sqrt(24x4)/Sqrt(3x) = Sqrt(24x4/3x) = Sqrt(8x3) = Sqrt(4x2*2x) = 2x*sqrt(2x)
Its the square root of 2 times x Ambiguous. More clear is x times square root of 2
2x square root 6x y squared
sqrt(8xy2) * sqrt(20y) = 2y*sqrt(2x)*sqrt(20y) = 4y*sqrt(x)*sqrt(10y) = 4y*sqrt(10xy)