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Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_

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Q. Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
  1. Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to 916\sqrt{\frac{9}{16}}.\newline916=916\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}}
  2. Find Square Root of Numerator and Denominator: Find the square root of the numerator and denominator separately.\newline9=3×3=3\sqrt{9} = \sqrt{3 \times 3} = 3\newline16=4×4=4\sqrt{16} = \sqrt{4 \times 4} = 4
  3. Combine Square Roots to Find Value: Combine the square roots to find the value of 916\sqrt{\frac{9}{16}}.916=916=34\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}} = \frac{3}{4}

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