Evaluate square root of 6* square root of 6

Problem

√(,6)⋅√(,6)

Solution

1. Identify the property of radicals for multiplication, which states that √(,a)⋅√(,b)=√(,a⋅b) for non-negative numbers.

2. Apply the property to combine the two square roots into a single radical expression.

√(,6)⋅√(,6)=√(,6⋅6)

3. Simplify the expression inside the radical by performing the multiplication.

√(,6⋅6)=√(,36)

4. Evaluate the square root of the perfect square.

√(,36)=6

Final Answer

√(,6)⋅√(,6)=6

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