Evaluate square root of 113

Problem

√(,113)

Solution

1. Identify the nature of the number 113. Since 113 is a prime number, it cannot be factored into smaller perfect squares.

2. Determine the perfect squares surrounding 113 to estimate the value. We know 10=100 and 11=121

3. Conclude that the square root cannot be simplified into a simpler radical form or a whole number. It is an irrational number.

4. Calculate a decimal approximation if required. Using the long division method or a calculator, √(,113)≈10.63014581

Final Answer

√(,113)≈10.63014581

Want more problems? Check here!