Calculate the square root of 125

Problem

√(,125)

Solution

1. Identify the number inside the radical and look for perfect square factors.

2. Factor the number 125 into a product of a perfect square and another integer.

√(,125)=√(,25⋅5)

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

√(,25⋅5)=√(,25)⋅√(,5)

4. Simplify the square root of the perfect square factor.

√(,25)⋅√(,5)=5√(,5)

Final Answer

√(,125)=5√(,5)

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