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Simplify. \newline499\sqrt{\frac{49}{9}}

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Full solution

Q. Simplify. \newline499\sqrt{\frac{49}{9}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to 499\sqrt{\frac{49}{9}}.499=499\sqrt{\frac{49}{9}} = \frac{\sqrt{49}}{\sqrt{9}}
  2. Evaluate 49\sqrt{49}: Evaluate 49\sqrt{49}.\newline49=7×7\sqrt{49} = \sqrt{7 \times 7}\newline=7= 7
  3. Evaluate 9\sqrt{9}: Now, let's evaluate 9\sqrt{9}.\newline9=3×3\sqrt{9} = \sqrt{3 \times 3}\newline=3= 3
  4. Combine Results: Combine the results from the previous steps. 499=499=73\sqrt{\frac{49}{9}} = \frac{\sqrt{49}}{\sqrt{9}} = \frac{7}{3}

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