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Simplify. \newline1049\sqrt{\frac{10}{49}}

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Full solution

Q. Simplify. \newline1049\sqrt{\frac{10}{49}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to 1049\sqrt{\frac{10}{49}}.1049=1049\sqrt{\frac{10}{49}} = \frac{\sqrt{10}}{\sqrt{49}}
  2. Evaluate 49\sqrt{49}: Evaluate 49\sqrt{49}.\newline49=7×7\sqrt{49} = \sqrt{7 \times 7}\newline=7= 7
  3. Consider 10\sqrt{10}: Now, let's consider 10\sqrt{10}. Since 1010 is not a perfect square, it remains as 10\sqrt{10}.
  4. Combine Results: Combine the results from the previous steps. 1049=1049=107\sqrt{\frac{10}{49}} = \frac{\sqrt{10}}{\sqrt{49}} = \frac{\sqrt{10}}{7}

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