Final answer:
To find the square root in simplest radical form, identify the number and its prime factorization, pair up the factors, and simplify the expression.
Step-by-step explanation:
The subject of this question is mathematics. The student is asking about a square root calculator in simplest radical form. To find the square root of a number in simplest radical form, you can use the following steps:
- Identify the number you want to find the square root of.
- Find the prime factorization of the number.
- Pair up the factors in groups of two.
- Write the paired factors as a square root, and any remaining factors outside the square root.
For example, to find the square root of 12 in simplest radical form:
- The number is 12.
- The prime factorization of 12 is 2 * 2 * 3.
- Pairing up the factors gives (2 * 2) * 3.
- Writing it as a square root, we get √(2 * 2) * √3.
- Simplifying, we have 2√3.