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3 What is the value of (sqrt(4x))/(sqrtx) ?

33\newlineWhat is the value of 4xx \frac{\sqrt{4 x}}{\sqrt{x}} ?

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Full solution

Q. 33\newlineWhat is the value of 4xx \frac{\sqrt{4 x}}{\sqrt{x}} ?
  1. Simplify square root: Simplify the square root in the numerator: 4x=4⋅x=2⋅x\sqrt{4x} = \sqrt{4}\cdot\sqrt{x} = 2\cdot\sqrt{x}
  2. Divide numerator by denominator: Divide the simplified numerator by the denominator: (2x)/(x)(2\sqrt{x})/(\sqrt{x})
  3. Cancel common terms: Cancel out the common x\sqrt{x} terms: 22

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