Evaluate square root of 400

Problem

√(,400)

Solution

1. Identify the number under the radical, which is 400

2. Rewrite the number as a product of its factors to find a perfect square.

400=4⋅100

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

√(,400)=√(,4)⋅√(,100)

4. Evaluate the square roots of the perfect squares.

√(,4)=2

√(,100)=10

5. Multiply the results together.

2⋅10=20

Final Answer

√(,400)=20

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