Evaluate square root of 14

Problem

√(,14)

Solution

1. Identify the number under the radical, which is 14

2. Determine if the number is a perfect square. Since 3=9 and 4=16 the square root of 14 is not an integer.

3. Factor the radicand to see if it can be simplified. The prime factorization of 14 is 2×7

4. Conclude that since there are no square factors, the expression cannot be simplified further in radical form.

5. Approximate the value using a calculator if a decimal is required. √(,14)≈3.741657

Final Answer

√(,14)=√(,14)

Want more problems? Check here!