Evaluate ( square root of 75)/( square root of 3)

Problem

√(,75)/√(,3)

Solution

1. Apply the quotient property of radicals to combine the numerator and denominator into a single square root.

√(,75)/√(,3)=√(,75/3)

2. Divide the numbers inside the radical.

75/3=25

3. Simplify the resulting square root.

√(,25)=5

Final Answer

√(,75)/√(,3)=5

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