Simplify ( square root of 33)/( square root of 3)

Problem

√(,33)/√(,3)

Solution

1. Apply the quotient property of radicals, which states that the quotient of two square roots is equal to the square root of the quotient.

√(,a)/√(,b)=√(,a/b)

2. Substitute the values into the property.

√(,33)/√(,3)=√(,33/3)

3. Divide the numbers inside the radical.

33/3=11

4. Write the simplified expression under the square root.

√(,11)

Final Answer

√(,33)/√(,3)=√(,11)

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