Evaluate square root of 21/25

Problem

√(,21/25)

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.

√(,21/25)=√(,21)/√(,25)

2. Evaluate the square root of the denominator. Since 25 is a perfect square (5=25, its square root is 5

√(,21)/√(,25)=√(,21)/5

3. Check for simplification in the numerator. The number 21 is the product of the prime factors 3 and 7 Since there are no perfect square factors, the radical √(,21) cannot be simplified further.

Final Answer

√(,21/25)=√(,21)/5

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