Calculate the square root of 29

Problem

√(,29)

Solution

1. Identify the number as a prime number. Since 29 has no factors other than 1 and itself, its square root cannot be simplified into a product of an integer and a smaller radical.

2. Determine the nature of the value. Because 29 is not a perfect square, √(,29) is an irrational number.

3. Estimate the value by finding the nearest perfect squares. Since 5=25 and 6=36 the value lies between 5 and 6.

4. Calculate the decimal approximation using a calculator or numerical method if a decimal form is required.

Final Answer

√(,29)≈5.3851648

Want more problems? Check here!