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(sqrt5)/(4sqrt125)

54125 \frac{\sqrt{5}}{4 \sqrt{125}}

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Full solution

Q. 54125 \frac{\sqrt{5}}{4 \sqrt{125}}
  1. Apply Quotient Rule: Apply the quotient rule of radicals to simplify the denominator. \newline4125=45×5×5=4×554\sqrt{125} = 4\sqrt{5 \times 5 \times 5} = 4 \times 5\sqrt{5}
  2. Simplify Numerator: Now, simplify the expression by dividing the numerator by the new denominator. 54×55=5205\frac{\sqrt{5}}{4 \times 5\sqrt{5}} = \frac{\sqrt{5}}{20\sqrt{5}}
  3. Cancel Common Term: Cancel out the common 5\sqrt{5} in the numerator and denominator.120\frac{1}{20}

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