Evaluate 2 square root of 27- square root of 48

Problem

2√(,27)−√(,48)

Solution

1. Simplify the first radical by factoring the number under the square root into a perfect square and another factor.

2√(,27)=2√(,9⋅3)

2. Extract the square root of the perfect square.

2⋅3√(,3)=6√(,3)

3. Simplify the second radical by factoring it into a perfect square and another factor.

√(,48)=√(,16⋅3)

4. Extract the square root of the perfect square.

4√(,3)

5. Subtract the like terms to find the final value.

6√(,3)−4√(,3)=2√(,3)

Final Answer

2√(,27)−√(,48)=2√(,3)

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