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Evaluate square root of 25/36

Problem

√(,25/36)

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.

√(,25/36)=√(,25)/√(,36)

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

√(,25)=5

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

√(,36)=6

  1. Simplify the expression by substituting the calculated values back into the fraction.

5/6

Final Answer

√(,25/36)=5/6


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