Simplify square root of 18

Problem

√(,18)

Solution

1. Identify the radicand, which is 18

2. Find the largest perfect square factor of 18

3. Rewrite 18 as the product of 9 and 2

√(,18)=√(,9⋅2)

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

√(,9⋅2)=√(,9)⋅√(,2)

5. Evaluate the square root of the perfect square 9

√(,9)⋅√(,2)=3√(,2)

Final Answer

√(,18)=3√(,2)

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