Calculate the square root of 250

Problem

√(,250)

Solution

1. Identify the number inside the radical and look for its prime factors.

250=25⋅10

2. Factor the number into a product of a perfect square and a non-perfect square.

250=25⋅10

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

√(,250)=√(,25)⋅√(,10)

4. Simplify the square root of the perfect square.

√(,25)=5

5. Combine the simplified parts to find the final radical form.

√(,250)=5√(,10)

Final Answer

√(,250)=5√(,10)

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