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Simplify. \newline449\sqrt{\frac{4}{49}}

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Full solution

Q. Simplify. \newline449\sqrt{\frac{4}{49}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to 449\sqrt{\frac{4}{49}}.449=449\sqrt{\frac{4}{49}} = \frac{\sqrt{4}}{\sqrt{49}}
  2. Evaluate 4\sqrt{4}: Evaluate 4\sqrt{4}.4=2×2\sqrt{4} = \sqrt{2 \times 2}=2= 2
  3. Evaluate 49\sqrt{49}: Evaluate 49\sqrt{49}.\newline49=7×7\sqrt{49} = \sqrt{7 \times 7}\newline=7= 7
  4. Combine Results: Combine the results from the previous steps to find the simplified form. 449=449\sqrt{\frac{4}{49}} = \frac{\sqrt{4}}{\sqrt{49}} = 27\frac{2}{7}

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