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Evaluate square root of 36/25

Problem

√(,36/25)

Solution

  1. Apply the quotient rule for radicals, which states that the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator.

√(,36/25)=√(,36)/√(,25)

  1. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 36.

√(,36)=6

  1. Evaluate the square root of the denominator by finding the number that, when multiplied by itself, equals 25.

√(,25)=5

  1. Combine the results into a single fraction.

6/5

Final Answer

√(,36/25)=6/5


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