Calculate the 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 identify perfect squares.

400=4×100

3. Apply the property of square roots that √(,a×b)=√(,a)×√(,b)

√(,400)=√(,4)×√(,100)

4. Evaluate the square root of each perfect square factor.

√(,4)=2

√(,100)=10

5. Multiply the results to find the final value.

2×10=20

Final Answer

√(,400)=20

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