Evaluate square root of 900

Problem

√(,900)

Solution

1. Identify the number under the radical, which is 900

2. Rewrite the number as a product of factors to identify perfect squares.

900=9⋅100

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

√(,900)=√(,9)⋅√(,100)

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

√(,9)=3

√(,100)=10

5. Multiply the resulting values to find the final answer.

3⋅10=30

Final Answer

√(,900)=30

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