Calculate the square root of 21

Problem

√(,21)

Solution

1. Identify the number under the radical, which is 21

2. Determine if the number is a perfect square. Since 4=16 and 5=25 21 is not a perfect square.

3. Check for prime factors to see if the radical can be simplified. The prime factorization of 21 is 3×7

4. Conclude that since there are no repeating prime factors, the square root cannot be simplified further into a simpler radical form.

5. Estimate the decimal value if needed. Since 21 is between 16 and 25 the value is between 4 and 5 approximately 4.582575...

Final Answer

√(,21)=√(,21)

Want more problems? Check here!