Evaluate square root of 54

Problem

√(,54)

Solution

1. Identify the radicand and look for the largest perfect square factor of 54.

2. Factor the number 54 into a product of a perfect square and another integer.

54=9⋅6

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

√(,54)=√(,9⋅6)

√(,54)=√(,9)⋅√(,6)

4. Simplify the square root of the perfect square.

√(,9)=3

5. Combine the results to write the expression in simplest radical form.

√(,54)=3√(,6)

Final Answer

√(,54)=3√(,6)

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