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Simplify. \newline494\sqrt{\frac{49}{4}}

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Full solution

Q. Simplify. \newline494\sqrt{\frac{49}{4}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to 494\sqrt{\frac{49}{4}}.494=494\sqrt{\frac{49}{4}} = \frac{\sqrt{49}}{\sqrt{4}}
  2. Evaluate 49\sqrt{49}: Evaluate 49\sqrt{49}.\newline49=7×7\sqrt{49} = \sqrt{7 \times 7}\newline=7= 7
  3. Evaluate 4\sqrt{4}: Now, let's evaluate 4\sqrt{4}.4=2×2\sqrt{4} = \sqrt{2 \times 2}=2= 2
  4. Combine Results: Combine the results from the previous steps to find the simplified form of 494\sqrt{\frac{49}{4}}.494=494=72\sqrt{\frac{49}{4}} = \frac{\sqrt{49}}{\sqrt{4}} = \frac{7}{2}

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