Evaluate square root of 500

Problem

√(,500)

Solution

1. Identify the number inside the radical as a product of a perfect square and another factor.

2. Factor the number 500 into 100⋅5 noting that 100 is a perfect square (10.

3. Apply the product property of radicals, which states √(,a⋅b)=√(,a)⋅√(,b)

4. Simplify the square root of the perfect square.

Final Answer

√(,500)=10√(,5)

Want more problems? Check here!