Evaluate square root of 3* square root of 12

Problem

√(,3)⋅√(,12)

Solution

1. Apply the product property of radicals, which states that √(,a)⋅√(,b)=√(,a⋅b)

√(,3)⋅√(,12)=√(,3⋅12)

2. Multiply the numbers inside the square root.

√(,3⋅12)=√(,36)

3. Evaluate the square root of the resulting perfect square.

√(,36)=6

Final Answer

√(,3)⋅√(,12)=6

Want more problems? Check here!