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Simplify. \newline2125\sqrt{\frac{21}{25}}

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Full solution

Q. Simplify. \newline2125\sqrt{\frac{21}{25}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to 2125\sqrt{\frac{21}{25}}.2125=2125\sqrt{\frac{21}{25}} = \frac{\sqrt{21}}{\sqrt{25}}
  2. Evaluate 21\sqrt{21}: Evaluate 21\sqrt{21}.\newlineSince 2121 is not a perfect square, we cannot simplify it further. So, we leave it as 21\sqrt{21}.
  3. Evaluate 25\sqrt{25}: Evaluate 25\sqrt{25}.\newlineSince 2525 is a perfect square (5×55 \times 5), we find that:\newline25=5×5=5\sqrt{25} = \sqrt{5 \times 5} = 5
  4. Combine Results: Combine the results from the previous steps. 2125=2125=215\sqrt{\frac{21}{25}} = \frac{\sqrt{21}}{\sqrt{25}} = \frac{\sqrt{21}}{5}

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