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Simplify. \newline2549\sqrt{\frac{25}{49}}

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Full solution

Q. Simplify. \newline2549\sqrt{\frac{25}{49}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to 2549\sqrt{\frac{25}{49}}.2549=2549\sqrt{\frac{25}{49}} = \frac{\sqrt{25}}{\sqrt{49}}
  2. Evaluate 25\sqrt{25}: Evaluate 25\sqrt{25}.\newline25=5×5\sqrt{25} = \sqrt{5 \times 5}\newline= 55
  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. 2549=2549\sqrt{\frac{25}{49}} = \frac{\sqrt{25}}{\sqrt{49}} = 57\frac{5}{7}

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